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GCD of 790, 530, 760 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, 530, 760 quickly. Get the easiest ways to solve the greatest common divisor of 790, 530, 760 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 790, 530, 760 with Factoring?

Given Input numbers are 790, 530, 760

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760


GCD of numbers is the greatest common divisor

So, the GCD (790, 530, 760) = 10.

Find GCD of 790, 530, 760 using Prime Factorization

Given numbers are 790, 530, 760

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 530 are 2 x 5 x 53

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 21 x 51

Therefore, GCD of 790, 530, 760 is 10.

Steps to Calculate GCD of 790, 530, 760 using LCM Formula

Given numbers are 790, 530, 760

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

Apply this formula for all numbers.

Step1:

LCM(790, 530) = 41870

GCD(790, 530) = ( 790 x 530 ) / 41870

= 790 / 530

= 790


Step2:

LCM(10, 760) = 760

GCD(10, 760) = ( 10 x 760 ) / 760

= 10 / 760

= 10


So, Greatest Common Divisor of 790, 530, 760 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 790, 530, 760

Given numbers are 790, 530, 760
The greatest common divisor of numbers 790, 530, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 530, 760 is 10.

FAQs on GCD of 790, 530, 760 Calculator

1. What is the GCD of 790, 530, 760?

GCD of given numbers 790, 530, 760 is 10


2. How to calculate the greatest common divisor of 790, 530, 760?

We can find the highest common divisor of 790, 530, 760 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, 530, 760 i.e 10.


3. How can I use the GCD of 790, 530, 760Calculator?

Out the numbers 790, 530, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.