GCD of 662, 974, 341, 349 Calculator

Given Input numbers are 662, 974, 341, 349

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 974

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

1, 2, 487, 974

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 662, 974, 341, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 974, 341, 349 is 1.

Therefore, GCD of numbers 662, 974, 341, 349 is 1

Given Input Data is 662, 974, 341, 349

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 974 is 2 x 487

Prime Factorization of 341 is 11 x 31

Prime Factorization of 349 is 349

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(662, 974) = 322394

GCD(662, 974) = ( 662 x 974 ) / 322394

GCD(662, 974) = 644788 / 322394

GCD(662, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 341

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

LCM(2, 341) = 682

GCD(2, 341) = ( 2 x 341 ) / 682

GCD(2, 341) = 682 / 682

GCD(2, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 662, 974, 341, 349 is 1

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1. What is the GCD of 662, 974, 341, 349?

GCD of 662, 974, 341, 349 is 1

2. Where do I get the detailed procedure to find GCD of 662, 974, 341, 349?

You can find a detailed procedure to find GCD of 662, 974, 341, 349 on our page.

3. How to find GCD of 662, 974, 341, 349 on a calculator?

You can find the GCD of 662, 974, 341, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.