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GCD of 748, 502, 391, 758 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, 502, 391, 758 quickly. Get the easiest ways to solve the greatest common divisor of 748, 502, 391, 758 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 502, 391, 758 with Factoring?

Given Input numbers are 748, 502, 391, 758

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 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758


GCD of numbers is the greatest common divisor

So, the GCD (748, 502, 391, 758) = 1.

Find GCD of 748, 502, 391, 758 using Prime Factorization

Given numbers are 748, 502, 391, 758

The list of prime factors of all numbers are

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

Prime factors of 502 are 2 x 251

Prime factors of 391 are 17 x 23

Prime factors of 758 are 2 x 379

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 748, 502, 391, 758 using LCM Formula

Given numbers are 748, 502, 391, 758

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

Apply this formula for all numbers.

Step1:

LCM(748, 502) = 187748

GCD(748, 502) = ( 748 x 502 ) / 187748

= 748 / 502

= 748


Step2:

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

= 2 / 391

= 2


Step3:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1


So, Greatest Common Divisor of 748, 502, 391, 758 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 502, 391, 758

Given numbers are 748, 502, 391, 758
The greatest common divisor of numbers 748, 502, 391, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 502, 391, 758 is 1.

FAQs on GCD of 748, 502, 391, 758 Calculator

1. What is the GCD of 748, 502, 391, 758?

GCD of given numbers 748, 502, 391, 758 is 1


2. How to calculate the greatest common divisor of 748, 502, 391, 758?

We can find the highest common divisor of 748, 502, 391, 758 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, 502, 391, 758 i.e 1.


3. How can I use the GCD of 748, 502, 391, 758Calculator?

Out the numbers 748, 502, 391, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.