GCD of 972, 618, 784, 127 Calculator

Given Input numbers are 972, 618, 784, 127

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

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

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Greatest Common Divisior

We found the divisors of 972, 618, 784, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 618, 784, 127 is 1.

Therefore, GCD of numbers 972, 618, 784, 127 is 1

Given Input Data is 972, 618, 784, 127

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 127 is 127

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(972, 618) = 100116

GCD(972, 618) = ( 972 x 618 ) / 100116

GCD(972, 618) = 600696 / 100116

GCD(972, 618) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 784

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

LCM(6, 784) = 2352

GCD(6, 784) = ( 6 x 784 ) / 2352

GCD(6, 784) = 4704 / 2352

GCD(6, 784) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 127

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

LCM(2, 127) = 254

GCD(2, 127) = ( 2 x 127 ) / 254

GCD(2, 127) = 254 / 254

GCD(2, 127) = 1

GCD of 972, 618, 784, 127 is 1

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1. What is the GCD of 972, 618, 784, 127?

GCD of 972, 618, 784, 127 is 1

2. Where do I get the detailed procedure to find GCD of 972, 618, 784, 127?

You can find a detailed procedure to find GCD of 972, 618, 784, 127 on our page.

3. How to find GCD of 972, 618, 784, 127 on a calculator?

You can find the GCD of 972, 618, 784, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.