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GCD of 748, 202, 913, 790 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, 202, 913, 790 quickly. Get the easiest ways to solve the greatest common divisor of 748, 202, 913, 790 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 202, 913, 790 with Factoring?

Given Input numbers are 748, 202, 913, 790

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 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 790 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (748, 202, 913, 790) = 1.

Find GCD of 748, 202, 913, 790 using Prime Factorization

Given numbers are 748, 202, 913, 790

The list of prime factors of all numbers are

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

Prime factors of 202 are 2 x 101

Prime factors of 913 are 11 x 83

Prime factors of 790 are 2 x 5 x 79

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

Steps to Calculate GCD of 748, 202, 913, 790 using LCM Formula

Given numbers are 748, 202, 913, 790

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

Apply this formula for all numbers.

Step1:

LCM(748, 202) = 75548

GCD(748, 202) = ( 748 x 202 ) / 75548

= 748 / 202

= 748


Step2:

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

= 2 / 913

= 2


Step3:

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

= 1 / 790

= 1


So, Greatest Common Divisor of 748, 202, 913, 790 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 202, 913, 790

Given numbers are 748, 202, 913, 790
The greatest common divisor of numbers 748, 202, 913, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 202, 913, 790 is 1.

FAQs on GCD of 748, 202, 913, 790 Calculator

1. What is the GCD of 748, 202, 913, 790?

GCD of given numbers 748, 202, 913, 790 is 1


2. How to calculate the greatest common divisor of 748, 202, 913, 790?

We can find the highest common divisor of 748, 202, 913, 790 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, 202, 913, 790 i.e 1.


3. How can I use the GCD of 748, 202, 913, 790Calculator?

Out the numbers 748, 202, 913, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.