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GCD of 948, 686, 422, 478 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 686, 422, 478 quickly. Get the easiest ways to solve the greatest common divisor of 948, 686, 422, 478 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 686, 422, 478 with Factoring?

Given Input numbers are 948, 686, 422, 478

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478


GCD of numbers is the greatest common divisor

So, the GCD (948, 686, 422, 478) = 2.

Find GCD of 948, 686, 422, 478 using Prime Factorization

Given numbers are 948, 686, 422, 478

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 422 are 2 x 211

Prime factors of 478 are 2 x 239

The highest common occurrence is 21

Therefore, GCD of 948, 686, 422, 478 is 2.

Steps to Calculate GCD of 948, 686, 422, 478 using LCM Formula

Given numbers are 948, 686, 422, 478

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

Apply this formula for all numbers.

Step1:

LCM(948, 686) = 325164

GCD(948, 686) = ( 948 x 686 ) / 325164

= 948 / 686

= 948


Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2


Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2


So, Greatest Common Divisor of 948, 686, 422, 478 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 686, 422, 478

Given numbers are 948, 686, 422, 478
The greatest common divisor of numbers 948, 686, 422, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 686, 422, 478 is 2.

FAQs on GCD of 948, 686, 422, 478 Calculator

1. What is the GCD of 948, 686, 422, 478?

GCD of given numbers 948, 686, 422, 478 is 2


2. How to calculate the greatest common divisor of 948, 686, 422, 478?

We can find the highest common divisor of 948, 686, 422, 478 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 948, 686, 422, 478 i.e 2.


3. How can I use the GCD of 948, 686, 422, 478Calculator?

Out the numbers 948, 686, 422, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.