GCD of 742, 974, 691 Calculator

Given Input numbers are 742, 974, 691

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 742, 974, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 974, 691 is 1.

Therefore, GCD of numbers 742, 974, 691 is 1

Given Input Data is 742, 974, 691

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 974 is 2 x 487

Prime Factorization of 691 is 691

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(742, 974) = 361354

GCD(742, 974) = ( 742 x 974 ) / 361354

GCD(742, 974) = 722708 / 361354

GCD(742, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

GCD of 742, 974, 691 is 1

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1. What is the GCD of 742, 974, 691?

GCD of 742, 974, 691 is 1

2. Where do I get the detailed procedure to find GCD of 742, 974, 691?

You can find a detailed procedure to find GCD of 742, 974, 691 on our page.

3. How to find GCD of 742, 974, 691 on a calculator?

You can find the GCD of 742, 974, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.