Question

2.Use Euclids division Algorithm and find the HCF of 2740 and 1760 ​

Answer 1

Answer:

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Answer 2

Answer:

HCF of given two numbers is 16.

Step-by-step explanation:

Given two number is 2740 and 1760

By Euclids division Algorithm,

Now,

$2740 \div 2 = 1370 \\ 1370 \div 2 = 685 \\ 685 \div 5 = 137$

So,

$2740 = 2 \times 2 \times 2 \times 2 \times 137$

And

$1760 \div 2 = 880 \\ 880 \div 2 = 440 \\ 440 \div 2 = 220 \\ 220 \div 2 = 110 \\ 110 \div 2 = 55 \\ 55 \div 5 = 11$

So,

$1760 = 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 5$

$HCF= Highest Common Factor$

$HCF= 2 \times 2 \times 2 \times 2 = 16$

HCF of given two numbers is 16.