GCD of 972, 784, 470, 985 Calculator

Given Input numbers are 972, 784, 470, 985

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

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

GCD of numbers is the greatest common divisor

So, the GCD (972, 784, 470, 985) = 1.

Given numbers are 972, 784, 470, 985

The list of prime factors of all numbers are

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 470 are 2 x 5 x 47

Prime factors of 985 are 5 x 197

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

Given numbers are 972, 784, 470, 985

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

Apply this formula for all numbers.

Step1:

LCM(972, 784) = 190512

GCD(972, 784) = ( 972 x 784 ) / 190512

= 972 / 784

= 972

Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

Step3:

LCM(2, 985) = 1970

GCD(2, 985) = ( 2 x 985 ) / 1970

= 2 / 985

= 2

So, Greatest Common Divisor of 972, 784, 470, 985 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 340, 662, 103
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• GCD of 967, 944, 235, 637
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• GCD of 409, 712, 441, 771

Given numbers are 972, 784, 470, 985
The greatest common divisor of numbers 972, 784, 470, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 784, 470, 985 is 1.

1. What is the GCD of 972, 784, 470, 985?

GCD of given numbers 972, 784, 470, 985 is 1

2. How to calculate the greatest common divisor of 972, 784, 470, 985?

We can find the highest common divisor of 972, 784, 470, 985 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 972, 784, 470, 985 i.e 1.

3. How can I use the GCD of 972, 784, 470, 985Calculator?

Out the numbers 972, 784, 470, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.