GCD of 371, 659, 198, 972 Calculator

Given Input numbers are 371, 659, 198, 972

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

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (371, 659, 198, 972) = 1.

Given numbers are 371, 659, 198, 972

The list of prime factors of all numbers are

Prime factors of 371 are 7 x 53

Prime factors of 659 are 659

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 371, 659, 198, 972

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

Apply this formula for all numbers.

Step1:

LCM(371, 659) = 244489

GCD(371, 659) = ( 371 x 659 ) / 244489

= 371 / 659

= 371

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 371, 659, 198, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 675, 710, 838
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• GCD of 978, 471, 314, 479

Given numbers are 371, 659, 198, 972
The greatest common divisor of numbers 371, 659, 198, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 659, 198, 972 is 1.

1. What is the GCD of 371, 659, 198, 972?

GCD of given numbers 371, 659, 198, 972 is 1

2. How to calculate the greatest common divisor of 371, 659, 198, 972?

We can find the highest common divisor of 371, 659, 198, 972 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 371, 659, 198, 972 i.e 1.

3. How can I use the GCD of 371, 659, 198, 972Calculator?

Out the numbers 371, 659, 198, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.