GCD of 748, 541, 78, 752 Calculator

Given Input numbers are 748, 541, 78, 752

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 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 748, 541, 78, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 541, 78, 752 is 1.

Therefore, GCD of numbers 748, 541, 78, 752 is 1

Given Input Data is 748, 541, 78, 752

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 541 is 541

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(748, 541) = 404668

GCD(748, 541) = ( 748 x 541 ) / 404668

GCD(748, 541) = 404668 / 404668

GCD(748, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 748, 541, 78, 752 is 1

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• GCD of 561, 307, 80, 916
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• GCD of 982, 769, 15, 536

1. What is the GCD of 748, 541, 78, 752?

GCD of 748, 541, 78, 752 is 1

2. Where do I get the detailed procedure to find GCD of 748, 541, 78, 752?

You can find a detailed procedure to find GCD of 748, 541, 78, 752 on our page.

3. How to find GCD of 748, 541, 78, 752 on a calculator?

You can find the GCD of 748, 541, 78, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.