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GCD of 476, 628, 980, 194 Calculator

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


Online GCD Calculator is useful to find the GCD of 476, 628, 980, 194 quickly. Get the easiest ways to solve the greatest common divisor of 476, 628, 980, 194 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 476, 628, 980, 194 with Factoring?

Given Input numbers are 476, 628, 980, 194

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194


GCD of numbers is the greatest common divisor

So, the GCD (476, 628, 980, 194) = 2.

Find GCD of 476, 628, 980, 194 using Prime Factorization

Given numbers are 476, 628, 980, 194

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 194 are 2 x 97

The highest common occurrence is 21

Therefore, GCD of 476, 628, 980, 194 is 2.

Steps to Calculate GCD of 476, 628, 980, 194 using LCM Formula

Given numbers are 476, 628, 980, 194

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

Apply this formula for all numbers.

Step1:

LCM(476, 628) = 74732

GCD(476, 628) = ( 476 x 628 ) / 74732

= 476 / 628

= 476


Step2:

LCM(4, 980) = 980

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

= 4 / 980

= 4


Step3:

LCM(4, 194) = 388

GCD(4, 194) = ( 4 x 194 ) / 388

= 4 / 194

= 4


So, Greatest Common Divisor of 476, 628, 980, 194 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 476, 628, 980, 194

Given numbers are 476, 628, 980, 194
The greatest common divisor of numbers 476, 628, 980, 194 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 628, 980, 194 is 2.

FAQs on GCD of 476, 628, 980, 194 Calculator

1. What is the GCD of 476, 628, 980, 194?

GCD of given numbers 476, 628, 980, 194 is 2


2. How to calculate the greatest common divisor of 476, 628, 980, 194?

We can find the highest common divisor of 476, 628, 980, 194 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 476, 628, 980, 194 i.e 2.


3. How can I use the GCD of 476, 628, 980, 194Calculator?

Out the numbers 476, 628, 980, 194 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.