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GCD of 812, 164, 464, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 812, 164, 464, 980 quickly. Get the easiest ways to solve the greatest common divisor of 812, 164, 464, 980 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 812, 164, 464, 980 with Factoring?

Given Input numbers are 812, 164, 464, 980

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (812, 164, 464, 980) = 4.

Find GCD of 812, 164, 464, 980 using Prime Factorization

Given numbers are 812, 164, 464, 980

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 164 are 2 x 2 x 41

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 22

Therefore, GCD of 812, 164, 464, 980 is 4.

Steps to Calculate GCD of 812, 164, 464, 980 using LCM Formula

Given numbers are 812, 164, 464, 980

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

Apply this formula for all numbers.

Step1:

LCM(812, 164) = 33292

GCD(812, 164) = ( 812 x 164 ) / 33292

= 812 / 164

= 812


Step2:

LCM(4, 464) = 464

GCD(4, 464) = ( 4 x 464 ) / 464

= 4 / 464

= 4


Step3:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4


So, Greatest Common Divisor of 812, 164, 464, 980 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 812, 164, 464, 980

Given numbers are 812, 164, 464, 980
The greatest common divisor of numbers 812, 164, 464, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 164, 464, 980 is 4.

FAQs on GCD of 812, 164, 464, 980 Calculator

1. What is the GCD of 812, 164, 464, 980?

GCD of given numbers 812, 164, 464, 980 is 4


2. How to calculate the greatest common divisor of 812, 164, 464, 980?

We can find the highest common divisor of 812, 164, 464, 980 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 812, 164, 464, 980 i.e 4.


3. How can I use the GCD of 812, 164, 464, 980Calculator?

Out the numbers 812, 164, 464, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.