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GCD of 748, 790, 212, 928 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, 790, 212, 928 quickly. Get the easiest ways to solve the greatest common divisor of 748, 790, 212, 928 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 790, 212, 928 with Factoring?

Given Input numbers are 748, 790, 212, 928

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 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928


GCD of numbers is the greatest common divisor

So, the GCD (748, 790, 212, 928) = 2.

Find GCD of 748, 790, 212, 928 using Prime Factorization

Given numbers are 748, 790, 212, 928

The list of prime factors of all numbers are

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

Prime factors of 790 are 2 x 5 x 79

Prime factors of 212 are 2 x 2 x 53

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 21

Therefore, GCD of 748, 790, 212, 928 is 2.

Steps to Calculate GCD of 748, 790, 212, 928 using LCM Formula

Given numbers are 748, 790, 212, 928

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

Apply this formula for all numbers.

Step1:

LCM(748, 790) = 295460

GCD(748, 790) = ( 748 x 790 ) / 295460

= 748 / 790

= 748


Step2:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2


Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2


So, Greatest Common Divisor of 748, 790, 212, 928 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 790, 212, 928

Given numbers are 748, 790, 212, 928
The greatest common divisor of numbers 748, 790, 212, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 790, 212, 928 is 2.

FAQs on GCD of 748, 790, 212, 928 Calculator

1. What is the GCD of 748, 790, 212, 928?

GCD of given numbers 748, 790, 212, 928 is 2


2. How to calculate the greatest common divisor of 748, 790, 212, 928?

We can find the highest common divisor of 748, 790, 212, 928 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, 790, 212, 928 i.e 2.


3. How can I use the GCD of 748, 790, 212, 928Calculator?

Out the numbers 748, 790, 212, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.