GCD of 72, 175, 332, 969 Calculator

Given Input numbers are 72, 175, 332, 969

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 72, 175, 332, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 175, 332, 969 is 1.

Therefore, GCD of numbers 72, 175, 332, 969 is 1

Given Input Data is 72, 175, 332, 969

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 969 is 3 x 17 x 19

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(72, 175) = 12600

GCD(72, 175) = ( 72 x 175 ) / 12600

GCD(72, 175) = 12600 / 12600

GCD(72, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 72, 175, 332, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 364, 167, 770
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1. What is the GCD of 72, 175, 332, 969?

GCD of 72, 175, 332, 969 is 1

2. Where do I get the detailed procedure to find GCD of 72, 175, 332, 969?

You can find a detailed procedure to find GCD of 72, 175, 332, 969 on our page.

3. How to find GCD of 72, 175, 332, 969 on a calculator?

You can find the GCD of 72, 175, 332, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.