GCD of 972, 862, 703, 165 Calculator

Given Input numbers are 972, 862, 703, 165

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 972, 862, 703, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 862, 703, 165 is 1.

Therefore, GCD of numbers 972, 862, 703, 165 is 1

Given Input Data is 972, 862, 703, 165

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 862 is 2 x 431

Prime Factorization of 703 is 19 x 37

Prime Factorization of 165 is 3 x 5 x 11

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, 862) = 418932

GCD(972, 862) = ( 972 x 862 ) / 418932

GCD(972, 862) = 837864 / 418932

GCD(972, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 972, 862, 703, 165 is 1

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1. What is the GCD of 972, 862, 703, 165?

GCD of 972, 862, 703, 165 is 1

2. Where do I get the detailed procedure to find GCD of 972, 862, 703, 165?

You can find a detailed procedure to find GCD of 972, 862, 703, 165 on our page.

3. How to find GCD of 972, 862, 703, 165 on a calculator?

You can find the GCD of 972, 862, 703, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.