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GCD of 790, 198, 910, 764 Calculator

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


Online GCD Calculator is useful to find the GCD of 790, 198, 910, 764 quickly. Get the easiest ways to solve the greatest common divisor of 790, 198, 910, 764 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 790, 198, 910, 764 with Factoring?

Given Input numbers are 790, 198, 910, 764

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

Divisors of 790 :

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

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764


GCD of numbers is the greatest common divisor

So, the GCD (790, 198, 910, 764) = 2.

Find GCD of 790, 198, 910, 764 using Prime Factorization

Given numbers are 790, 198, 910, 764

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 21

Therefore, GCD of 790, 198, 910, 764 is 2.

Steps to Calculate GCD of 790, 198, 910, 764 using LCM Formula

Given numbers are 790, 198, 910, 764

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

Apply this formula for all numbers.

Step1:

LCM(790, 198) = 78210

GCD(790, 198) = ( 790 x 198 ) / 78210

= 790 / 198

= 790


Step2:

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

= 2 / 910

= 2


Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2


So, Greatest Common Divisor of 790, 198, 910, 764 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 790, 198, 910, 764

Given numbers are 790, 198, 910, 764
The greatest common divisor of numbers 790, 198, 910, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 198, 910, 764 is 2.

FAQs on GCD of 790, 198, 910, 764 Calculator

1. What is the GCD of 790, 198, 910, 764?

GCD of given numbers 790, 198, 910, 764 is 2


2. How to calculate the greatest common divisor of 790, 198, 910, 764?

We can find the highest common divisor of 790, 198, 910, 764 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 790, 198, 910, 764 i.e 2.


3. How can I use the GCD of 790, 198, 910, 764Calculator?

Out the numbers 790, 198, 910, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.