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GCD of 472, 674, 338, 620 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 674, 338, 620 quickly. Get the easiest ways to solve the greatest common divisor of 472, 674, 338, 620 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 674, 338, 620 with Factoring?

Given Input numbers are 472, 674, 338, 620

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620


GCD of numbers is the greatest common divisor

So, the GCD (472, 674, 338, 620) = 2.

Find GCD of 472, 674, 338, 620 using Prime Factorization

Given numbers are 472, 674, 338, 620

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 674 are 2 x 337

Prime factors of 338 are 2 x 13 x 13

Prime factors of 620 are 2 x 2 x 5 x 31

The highest common occurrence is 21

Therefore, GCD of 472, 674, 338, 620 is 2.

Steps to Calculate GCD of 472, 674, 338, 620 using LCM Formula

Given numbers are 472, 674, 338, 620

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

Apply this formula for all numbers.

Step1:

LCM(472, 674) = 159064

GCD(472, 674) = ( 472 x 674 ) / 159064

= 472 / 674

= 472


Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2


Step3:

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

= 2 / 620

= 2


So, Greatest Common Divisor of 472, 674, 338, 620 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 674, 338, 620

Given numbers are 472, 674, 338, 620
The greatest common divisor of numbers 472, 674, 338, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 674, 338, 620 is 2.

FAQs on GCD of 472, 674, 338, 620 Calculator

1. What is the GCD of 472, 674, 338, 620?

GCD of given numbers 472, 674, 338, 620 is 2


2. How to calculate the greatest common divisor of 472, 674, 338, 620?

We can find the highest common divisor of 472, 674, 338, 620 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 472, 674, 338, 620 i.e 2.


3. How can I use the GCD of 472, 674, 338, 620Calculator?

Out the numbers 472, 674, 338, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.