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GCD of 800, 790, 940 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 790, 940 quickly. Get the easiest ways to solve the greatest common divisor of 800, 790, 940 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 790, 940 with Factoring?

Given Input numbers are 800, 790, 940

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 790 :

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

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940


GCD of numbers is the greatest common divisor

So, the GCD (800, 790, 940) = 10.

Find GCD of 800, 790, 940 using Prime Factorization

Given numbers are 800, 790, 940

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 790 are 2 x 5 x 79

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 21 x 51

Therefore, GCD of 800, 790, 940 is 10.

Steps to Calculate GCD of 800, 790, 940 using LCM Formula

Given numbers are 800, 790, 940

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

Apply this formula for all numbers.

Step1:

LCM(800, 790) = 63200

GCD(800, 790) = ( 800 x 790 ) / 63200

= 800 / 790

= 800


Step2:

LCM(10, 940) = 940

GCD(10, 940) = ( 10 x 940 ) / 940

= 10 / 940

= 10


So, Greatest Common Divisor of 800, 790, 940 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 790, 940

Given numbers are 800, 790, 940
The greatest common divisor of numbers 800, 790, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 790, 940 is 10.

FAQs on GCD of 800, 790, 940 Calculator

1. What is the GCD of 800, 790, 940?

GCD of given numbers 800, 790, 940 is 10


2. How to calculate the greatest common divisor of 800, 790, 940?

We can find the highest common divisor of 800, 790, 940 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 800, 790, 940 i.e 10.


3. How can I use the GCD of 800, 790, 940Calculator?

Out the numbers 800, 790, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.