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GCD of 748, 572, 798, 788 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 748, 572, 798, 788 quickly. Get the easiest ways to solve the greatest common divisor of 748, 572, 798, 788 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 572, 798, 788 with Factoring?

Given Input numbers are 748, 572, 798, 788

In the factoring method, we have to find the divisors of all numbers

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

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

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788


GCD of numbers is the greatest common divisor

So, the GCD (748, 572, 798, 788) = 2.

Find GCD of 748, 572, 798, 788 using Prime Factorization

Given numbers are 748, 572, 798, 788

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 21

Therefore, GCD of 748, 572, 798, 788 is 2.

Steps to Calculate GCD of 748, 572, 798, 788 using LCM Formula

Given numbers are 748, 572, 798, 788

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(748, 572) = 9724

GCD(748, 572) = ( 748 x 572 ) / 9724

= 748 / 572

= 748


Step2:

LCM(44, 798) = 17556

GCD(44, 798) = ( 44 x 798 ) / 17556

= 44 / 798

= 44


Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2


So, Greatest Common Divisor of 748, 572, 798, 788 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 572, 798, 788

Given numbers are 748, 572, 798, 788
The greatest common divisor of numbers 748, 572, 798, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 572, 798, 788 is 2.

FAQs on GCD of 748, 572, 798, 788 Calculator

1. What is the GCD of 748, 572, 798, 788?

GCD of given numbers 748, 572, 798, 788 is 2


2. How to calculate the greatest common divisor of 748, 572, 798, 788?

We can find the highest common divisor of 748, 572, 798, 788 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 748, 572, 798, 788 i.e 2.


3. How can I use the GCD of 748, 572, 798, 788Calculator?

Out the numbers 748, 572, 798, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.