GCD of 974, 591, 655, 669 Calculator

Given Input numbers are 974, 591, 655, 669

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 974, 591, 655, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 591, 655, 669 is 1.

Therefore, GCD of numbers 974, 591, 655, 669 is 1

Given Input Data is 974, 591, 655, 669

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 591 is 3 x 197

Prime Factorization of 655 is 5 x 131

Prime Factorization of 669 is 3 x 223

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(974, 591) = 575634

GCD(974, 591) = ( 974 x 591 ) / 575634

GCD(974, 591) = 575634 / 575634

GCD(974, 591) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 974, 591, 655, 669 is 1

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1. What is the GCD of 974, 591, 655, 669?

GCD of 974, 591, 655, 669 is 1

2. Where do I get the detailed procedure to find GCD of 974, 591, 655, 669?

You can find a detailed procedure to find GCD of 974, 591, 655, 669 on our page.

3. How to find GCD of 974, 591, 655, 669 on a calculator?

You can find the GCD of 974, 591, 655, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.