GCD of 369, 974, 631, 387 Calculator

Given Input numbers are 369, 974, 631, 387

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 974

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

1, 2, 487, 974

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 369, 974, 631, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 974, 631, 387 is 1.

Therefore, GCD of numbers 369, 974, 631, 387 is 1

Given Input Data is 369, 974, 631, 387

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 974 is 2 x 487

Prime Factorization of 631 is 631

Prime Factorization of 387 is 3 x 3 x 43

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(369, 974) = 359406

GCD(369, 974) = ( 369 x 974 ) / 359406

GCD(369, 974) = 359406 / 359406

GCD(369, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 631

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

LCM(1, 631) = 631

GCD(1, 631) = ( 1 x 631 ) / 631

GCD(1, 631) = 631 / 631

GCD(1, 631) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 369, 974, 631, 387 is 1

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1. What is the GCD of 369, 974, 631, 387?

GCD of 369, 974, 631, 387 is 1

2. Where do I get the detailed procedure to find GCD of 369, 974, 631, 387?

You can find a detailed procedure to find GCD of 369, 974, 631, 387 on our page.

3. How to find GCD of 369, 974, 631, 387 on a calculator?

You can find the GCD of 369, 974, 631, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.