GCD of 879, 916, 58, 748 Calculator

Given Input numbers are 879, 916, 58, 748

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 879, 916, 58, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 916, 58, 748 is 1.

Therefore, GCD of numbers 879, 916, 58, 748 is 1

Given Input Data is 879, 916, 58, 748

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 58 is 2 x 29

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

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(879, 916) = 805164

GCD(879, 916) = ( 879 x 916 ) / 805164

GCD(879, 916) = 805164 / 805164

GCD(879, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

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

GCD of 879, 916, 58, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 542, 71, 978
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• GCD of 550, 114, 58, 771
• GCD of 142, 746, 72, 940
• GCD of 553, 946, 20, 569

1. What is the GCD of 879, 916, 58, 748?

GCD of 879, 916, 58, 748 is 1

2. Where do I get the detailed procedure to find GCD of 879, 916, 58, 748?

You can find a detailed procedure to find GCD of 879, 916, 58, 748 on our page.

3. How to find GCD of 879, 916, 58, 748 on a calculator?

You can find the GCD of 879, 916, 58, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.