GCD of 976, 694, 530, 748 Calculator

Given Input numbers are 976, 694, 530, 748

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 976, 694, 530, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 694, 530, 748 is 2.

Therefore, GCD of numbers 976, 694, 530, 748 is 2

Given Input Data is 976, 694, 530, 748

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 694 is 2 x 347

Prime Factorization of 530 is 2 x 5 x 53

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(976, 694) = 338672

GCD(976, 694) = ( 976 x 694 ) / 338672

GCD(976, 694) = 677344 / 338672

GCD(976, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 976, 694, 530, 748 is 2

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1. What is the GCD of 976, 694, 530, 748?

GCD of 976, 694, 530, 748 is 2

2. Where do I get the detailed procedure to find GCD of 976, 694, 530, 748?

You can find a detailed procedure to find GCD of 976, 694, 530, 748 on our page.

3. How to find GCD of 976, 694, 530, 748 on a calculator?

You can find the GCD of 976, 694, 530, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.