Download App

Numbers and Sequences — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSNumbers and Sequences2 Marks
Question
Use Euclid’s Division Algorithm to find the Highest Common Factor (H.C.F) of 340 and 412
✓

Answer

To find the H.C.F. of 340 and 412. Using Euclid’s division algorithm.
We get 412 = 340 × 1 + 72
The remainder 72 ≠ 0
Again applying Euclid’s division algorithm
340 = 72 × 4 + 52
The remainder 52 ≠ 0.
Again applying Euclid’s division algorithm
72 = 52 × 1 + 20
The remainder 20 ≠ 0.
Again applying Euclid’s division algorithm,
52 = 20 × 2 + 12
The remainder 12 ≠ 0.
Again applying Euclid’s division algorithm.
20 = 12 × 1 + 8
The remainder 8 ≠ 0.
Again applying Euclid’s division algorithm
12 = 8 × 1 + 4
The remainder 4 ≠ 0.
Again applying Euclid’s division algorithm
8 = 4 × 2 + 0
The remainder is zero.
Therefore H.C.F. of 340 and 412 is 4.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Questions]" from Numbers and Sequences→Numbers and Sequences — all question types→MATHS STD 10 question papers→Tamilnadu Board STD 10 question papers→Tamilnadu Board question paper generator→

Similar questions

You are downloading a song. The percent y (in decimal form) of megabytes remaining to get downloaded in x seconds is given by y = – 0.1x + 1 after how many seconds will 75% of the song gets downloaded?
→
Let $f: A \rightarrow B$ be a function defined by $f(x)=\frac{x}{2}-1$, where $A=\{2,4,6,10,12\}, B=\{0,1,2,4,5,9\}$
. Represent $f$ by an arrow diagram
→
Find the sum and product of the roots for the following quadratic equation $3+\frac{1}{ a }=\frac{10}{ a ^2}$
→
Simplify $\frac{x^3}{x-y}+\frac{y^3}{y-x}$
→
Simplify $\frac{x+4}{3 x+4 y} \times \frac{9 x^2-16 y^2}{2 x^2+3 x-20}$
→
Find the equation of a line through the given pair of point (2, 3) and (– 7, – 1)
→
If $f(x)=x^2-1$. Find fof of
→
Find the excluded values, of the following expression
$
\frac{x^3-27}{x^3+x^2-6 x}
$
→
A milk man has 175 litres of cow’s milk and 105 litres of buffalow’s milk. He wishes to sell the milk by filling the two types of milk in cans of equal capacity. Calculate the following :
Number of cans of cow’s milk
→
An aluminium sphere of radius 12 cm is melted to make a cylinder of radius 8 cm. Find the height of the cylinder
→