GCD of 972, 614, 67, 156 Calculator

Given Input numbers are 972, 614, 67, 156

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 972, 614, 67, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 614, 67, 156 is 1.

Therefore, GCD of numbers 972, 614, 67, 156 is 1

Given Input Data is 972, 614, 67, 156

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 614 is 2 x 307

Prime Factorization of 67 is 67

Prime Factorization of 156 is 2 x 2 x 3 x 13

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, 614) = 298404

GCD(972, 614) = ( 972 x 614 ) / 298404

GCD(972, 614) = 596808 / 298404

GCD(972, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 972, 614, 67, 156 is 1

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1. What is the GCD of 972, 614, 67, 156?

GCD of 972, 614, 67, 156 is 1

2. Where do I get the detailed procedure to find GCD of 972, 614, 67, 156?

You can find a detailed procedure to find GCD of 972, 614, 67, 156 on our page.

3. How to find GCD of 972, 614, 67, 156 on a calculator?

You can find the GCD of 972, 614, 67, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.