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GCD of 980, 796, 652, 232 Calculator

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


Online GCD Calculator is useful to find the GCD of 980, 796, 652, 232 quickly. Get the easiest ways to solve the greatest common divisor of 980, 796, 652, 232 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 796, 652, 232 with Factoring?

Given Input numbers are 980, 796, 652, 232

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

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (980, 796, 652, 232) = 4.

Find GCD of 980, 796, 652, 232 using Prime Factorization

Given numbers are 980, 796, 652, 232

The list of prime factors of all numbers are

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

Prime factors of 796 are 2 x 2 x 199

Prime factors of 652 are 2 x 2 x 163

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 22

Therefore, GCD of 980, 796, 652, 232 is 4.

Steps to Calculate GCD of 980, 796, 652, 232 using LCM Formula

Given numbers are 980, 796, 652, 232

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

Apply this formula for all numbers.

Step1:

LCM(980, 796) = 195020

GCD(980, 796) = ( 980 x 796 ) / 195020

= 980 / 796

= 980


Step2:

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

= 4 / 652

= 4


Step3:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4


So, Greatest Common Divisor of 980, 796, 652, 232 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 796, 652, 232

Given numbers are 980, 796, 652, 232
The greatest common divisor of numbers 980, 796, 652, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 796, 652, 232 is 4.

FAQs on GCD of 980, 796, 652, 232 Calculator

1. What is the GCD of 980, 796, 652, 232?

GCD of given numbers 980, 796, 652, 232 is 4


2. How to calculate the greatest common divisor of 980, 796, 652, 232?

We can find the highest common divisor of 980, 796, 652, 232 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 980, 796, 652, 232 i.e 4.


3. How can I use the GCD of 980, 796, 652, 232Calculator?

Out the numbers 980, 796, 652, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.