Question
Find the HCF of the numbers in the following using the prime factorization method:144, 252, 630
✓
Answer
The given numbers are 144, 252 and 630.We have:
$\begin{array}{c|c}2&144\\\hline2&72\\\hline2&36\\\hline2&18\\\hline3&9\\\hline3&3\\\hline&1\end{array}$
$\begin{array}{c|c}2&252\\\hline2&126\\\hline3&63\\\hline3&21\\\hline7&7\\\hline&1\end{array}$
$\begin{array}{c|c}2&630\\\hline3&315\\\hline3&105\\\hline5&35\\\hline7&7\\\hline&1\end{array}$
Now, $144=2\times2\times2\times2\times3\times3$
$252=2\times2\times3\times3\times7$
$630=2\times3\times3\times5\times7$
$\therefore$ HCF $=2\times3\times3=18$
$\begin{array}{c|c}2&144\\\hline2&72\\\hline2&36\\\hline2&18\\\hline3&9\\\hline3&3\\\hline&1\end{array}$
$\begin{array}{c|c}2&252\\\hline2&126\\\hline3&63\\\hline3&21\\\hline7&7\\\hline&1\end{array}$
$\begin{array}{c|c}2&630\\\hline3&315\\\hline3&105\\\hline5&35\\\hline7&7\\\hline&1\end{array}$
Now, $144=2\times2\times2\times2\times3\times3$
$252=2\times2\times3\times3\times7$
$630=2\times3\times3\times5\times7$
$\therefore$ HCF $=2\times3\times3=18$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The length and breadth of a room are $3 x^2 y^3$ and $6 x^3 y^2$, respectively. Find its perimeter and area.
→The number of boys in a school is 334 more than the number of girls. If the total strength of the school is 572, find the number of girls in the school.
Divide Rs. 3450 among A, B and C in the ratio 3 : 5 : 7.
Reduce each of the following fractions to its lowest term (simplest form):
$\frac{40}{72}$
→$\frac{40}{72}$
Find the HCF of the numbers in the following using the prime factorization method:1197, 5320, 4389
A bag contains 45kg 80g of sugar and the mass of the empty bag is 950g. What is the mass of the bag containing this much of sugar?
The following pictograph shows the number of scooters sold by a company during a week.
Scale is used = 6 scooters sold.
Study the pictograph carefully and answer the questions given below:
Scale is used = 6 scooters sold.
Study the pictograph carefully and answer the questions given below:
-
How many scooters were sold on Monday?
-
How many scooters were sold on Tuesday?
-
On what day of the week was the scale of the scooters maximum? How many scooters were sold on that day?
-
On what day of the week was the scale of the scooters minimum? How many scooters were sold on that day?
A piece of a wire $\frac{7}{8}\text{metres}$ long broke into two pieces. One piece was $\frac{1}{4}\text{metres}$ long. How long is the other piece?
→Show that the following numbers are in continued proportion:
16, 84, 441
16, 84, 441
A school bus picking up children in a colony of flats stops at every sixth block of flats. Another school bus starting from the same place stops at every eighth blocks of flats. Which is the first bus stop at which both of them will stop?