GCD of 974, 364, 861, 484 Calculator

Given Input numbers are 974, 364, 861, 484

In the factoring method, we have to find the divisors of all numbers

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (974, 364, 861, 484) = 1.

Given numbers are 974, 364, 861, 484

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 861 are 3 x 7 x 41

Prime factors of 484 are 2 x 2 x 11 x 11

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

Given numbers are 974, 364, 861, 484

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(974, 364) = 177268

GCD(974, 364) = ( 974 x 364 ) / 177268

= 974 / 364

= 974

Step2:

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

= 2 / 861

= 2

Step3:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1

So, Greatest Common Divisor of 974, 364, 861, 484 is 1

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Given numbers are 974, 364, 861, 484
The greatest common divisor of numbers 974, 364, 861, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 364, 861, 484 is 1.

1. What is the GCD of 974, 364, 861, 484?

GCD of given numbers 974, 364, 861, 484 is 1

2. How to calculate the greatest common divisor of 974, 364, 861, 484?

We can find the highest common divisor of 974, 364, 861, 484 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 974, 364, 861, 484 i.e 1.

3. How can I use the GCD of 974, 364, 861, 484Calculator?

Out the numbers 974, 364, 861, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.