GCD of 967, 516, 72, 460 Calculator

Given Input numbers are 967, 516, 72, 460

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 967, 516, 72, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 516, 72, 460 is 1.

Therefore, GCD of numbers 967, 516, 72, 460 is 1

Given Input Data is 967, 516, 72, 460

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

Prime Factorization of 967 is 967

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

Prime Factorization of 460 is 2 x 2 x 5 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(967, 516) = 498972

GCD(967, 516) = ( 967 x 516 ) / 498972

GCD(967, 516) = 498972 / 498972

GCD(967, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 967, 516, 72, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 302, 20, 275
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• GCD of 748, 828, 52, 430

1. What is the GCD of 967, 516, 72, 460?

GCD of 967, 516, 72, 460 is 1

2. Where do I get the detailed procedure to find GCD of 967, 516, 72, 460?

You can find a detailed procedure to find GCD of 967, 516, 72, 460 on our page.

3. How to find GCD of 967, 516, 72, 460 on a calculator?

You can find the GCD of 967, 516, 72, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.