GCD of 748, 524, 76, 740 Calculator

Given Input numbers are 748, 524, 76, 740

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

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 748, 524, 76, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 524, 76, 740 is 4.

Therefore, GCD of numbers 748, 524, 76, 740 is 4

Given Input Data is 748, 524, 76, 740

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

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 740 is 2 x 2 x 5 x 37

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(748, 524) = 97988

GCD(748, 524) = ( 748 x 524 ) / 97988

GCD(748, 524) = 391952 / 97988

GCD(748, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 740

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

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

GCD(4, 740) = 2960 / 740

GCD(4, 740) = 4

GCD of 748, 524, 76, 740 is 4

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1. What is the GCD of 748, 524, 76, 740?

GCD of 748, 524, 76, 740 is 4

2. Where do I get the detailed procedure to find GCD of 748, 524, 76, 740?

You can find a detailed procedure to find GCD of 748, 524, 76, 740 on our page.

3. How to find GCD of 748, 524, 76, 740 on a calculator?

You can find the GCD of 748, 524, 76, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.