GCD of 967, 873, 748, 515 Calculator

Given Input numbers are 967, 873, 748, 515

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 967, 873, 748, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 873, 748, 515 is 1.

Therefore, GCD of numbers 967, 873, 748, 515 is 1

Given Input Data is 967, 873, 748, 515

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

Prime Factorization of 967 is 967

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 515 is 5 x 103

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, 873) = 844191

GCD(967, 873) = ( 967 x 873 ) / 844191

GCD(967, 873) = 844191 / 844191

GCD(967, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 967, 873, 748, 515 is 1

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1. What is the GCD of 967, 873, 748, 515?

GCD of 967, 873, 748, 515 is 1

2. Where do I get the detailed procedure to find GCD of 967, 873, 748, 515?

You can find a detailed procedure to find GCD of 967, 873, 748, 515 on our page.

3. How to find GCD of 967, 873, 748, 515 on a calculator?

You can find the GCD of 967, 873, 748, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.