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GCD of 958, 470, 502, 476 Calculator

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


Online GCD Calculator is useful to find the GCD of 958, 470, 502, 476 quickly. Get the easiest ways to solve the greatest common divisor of 958, 470, 502, 476 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 470, 502, 476 with Factoring?

Given Input numbers are 958, 470, 502, 476

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

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


GCD of numbers is the greatest common divisor

So, the GCD (958, 470, 502, 476) = 2.

Find GCD of 958, 470, 502, 476 using Prime Factorization

Given numbers are 958, 470, 502, 476

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 470 are 2 x 5 x 47

Prime factors of 502 are 2 x 251

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

The highest common occurrence is 21

Therefore, GCD of 958, 470, 502, 476 is 2.

Steps to Calculate GCD of 958, 470, 502, 476 using LCM Formula

Given numbers are 958, 470, 502, 476

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

Apply this formula for all numbers.

Step1:

LCM(958, 470) = 225130

GCD(958, 470) = ( 958 x 470 ) / 225130

= 958 / 470

= 958


Step2:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2


Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2


So, Greatest Common Divisor of 958, 470, 502, 476 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 470, 502, 476

Given numbers are 958, 470, 502, 476
The greatest common divisor of numbers 958, 470, 502, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 470, 502, 476 is 2.

FAQs on GCD of 958, 470, 502, 476 Calculator

1. What is the GCD of 958, 470, 502, 476?

GCD of given numbers 958, 470, 502, 476 is 2


2. How to calculate the greatest common divisor of 958, 470, 502, 476?

We can find the highest common divisor of 958, 470, 502, 476 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 958, 470, 502, 476 i.e 2.


3. How can I use the GCD of 958, 470, 502, 476Calculator?

Out the numbers 958, 470, 502, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.