GCD of 980, 318, 364, 972 Calculator

Given Input numbers are 980, 318, 364, 972

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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 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 (980, 318, 364, 972) = 2.

Given numbers are 980, 318, 364, 972

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 318 are 2 x 3 x 53

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

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

The highest common occurrence is 2¹

Therefore, GCD of 980, 318, 364, 972 is 2.

Given numbers are 980, 318, 364, 972

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

Apply this formula for all numbers.

Step1:

LCM(980, 318) = 155820

GCD(980, 318) = ( 980 x 318 ) / 155820

= 980 / 318

= 980

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 980, 318, 364, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 775, 416, 701
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• GCD of 108, 653, 967, 600
• GCD of 952, 363, 984, 404
• GCD of 504, 593, 651, 756

Given numbers are 980, 318, 364, 972
The greatest common divisor of numbers 980, 318, 364, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 318, 364, 972 is 2.

1. What is the GCD of 980, 318, 364, 972?

GCD of given numbers 980, 318, 364, 972 is 2

2. How to calculate the greatest common divisor of 980, 318, 364, 972?

We can find the highest common divisor of 980, 318, 364, 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 980, 318, 364, 972 i.e 2.

3. How can I use the GCD of 980, 318, 364, 972Calculator?

Out the numbers 980, 318, 364, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.