GCD of 972, 859, 112, 207 Calculator

Given Input numbers are 972, 859, 112, 207

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 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 972, 859, 112, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 859, 112, 207 is 1.

Therefore, GCD of numbers 972, 859, 112, 207 is 1

Given Input Data is 972, 859, 112, 207

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 859 is 859

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 207 is 3 x 3 x 23

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, 859) = 834948

GCD(972, 859) = ( 972 x 859 ) / 834948

GCD(972, 859) = 834948 / 834948

GCD(972, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 972, 859, 112, 207 is 1

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1. What is the GCD of 972, 859, 112, 207?

GCD of 972, 859, 112, 207 is 1

2. Where do I get the detailed procedure to find GCD of 972, 859, 112, 207?

You can find a detailed procedure to find GCD of 972, 859, 112, 207 on our page.

3. How to find GCD of 972, 859, 112, 207 on a calculator?

You can find the GCD of 972, 859, 112, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.