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GCD of 472, 508, 974, 610 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, 508, 974, 610 quickly. Get the easiest ways to solve the greatest common divisor of 472, 508, 974, 610 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 508, 974, 610 with Factoring?

Given Input numbers are 472, 508, 974, 610

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610


GCD of numbers is the greatest common divisor

So, the GCD (472, 508, 974, 610) = 2.

Find GCD of 472, 508, 974, 610 using Prime Factorization

Given numbers are 472, 508, 974, 610

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 974 are 2 x 487

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 21

Therefore, GCD of 472, 508, 974, 610 is 2.

Steps to Calculate GCD of 472, 508, 974, 610 using LCM Formula

Given numbers are 472, 508, 974, 610

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

Apply this formula for all numbers.

Step1:

LCM(472, 508) = 59944

GCD(472, 508) = ( 472 x 508 ) / 59944

= 472 / 508

= 472


Step2:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4


Step3:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2


So, Greatest Common Divisor of 472, 508, 974, 610 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 508, 974, 610

Given numbers are 472, 508, 974, 610
The greatest common divisor of numbers 472, 508, 974, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 508, 974, 610 is 2.

FAQs on GCD of 472, 508, 974, 610 Calculator

1. What is the GCD of 472, 508, 974, 610?

GCD of given numbers 472, 508, 974, 610 is 2


2. How to calculate the greatest common divisor of 472, 508, 974, 610?

We can find the highest common divisor of 472, 508, 974, 610 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, 508, 974, 610 i.e 2.


3. How can I use the GCD of 472, 508, 974, 610Calculator?

Out the numbers 472, 508, 974, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.