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GCD of 790, 350, 978, 964 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, 350, 978, 964 quickly. Get the easiest ways to solve the greatest common divisor of 790, 350, 978, 964 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 790, 350, 978, 964 with Factoring?

Given Input numbers are 790, 350, 978, 964

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964


GCD of numbers is the greatest common divisor

So, the GCD (790, 350, 978, 964) = 2.

Find GCD of 790, 350, 978, 964 using Prime Factorization

Given numbers are 790, 350, 978, 964

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 978 are 2 x 3 x 163

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 21

Therefore, GCD of 790, 350, 978, 964 is 2.

Steps to Calculate GCD of 790, 350, 978, 964 using LCM Formula

Given numbers are 790, 350, 978, 964

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

Apply this formula for all numbers.

Step1:

LCM(790, 350) = 27650

GCD(790, 350) = ( 790 x 350 ) / 27650

= 790 / 350

= 790


Step2:

LCM(10, 978) = 4890

GCD(10, 978) = ( 10 x 978 ) / 4890

= 10 / 978

= 10


Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2


So, Greatest Common Divisor of 790, 350, 978, 964 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 790, 350, 978, 964

Given numbers are 790, 350, 978, 964
The greatest common divisor of numbers 790, 350, 978, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 350, 978, 964 is 2.

FAQs on GCD of 790, 350, 978, 964 Calculator

1. What is the GCD of 790, 350, 978, 964?

GCD of given numbers 790, 350, 978, 964 is 2


2. How to calculate the greatest common divisor of 790, 350, 978, 964?

We can find the highest common divisor of 790, 350, 978, 964 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, 350, 978, 964 i.e 2.


3. How can I use the GCD of 790, 350, 978, 964Calculator?

Out the numbers 790, 350, 978, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.