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GCD of 948, 702, 636, 477 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, 702, 636, 477 quickly. Get the easiest ways to solve the greatest common divisor of 948, 702, 636, 477 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 702, 636, 477 with Factoring?

Given Input numbers are 948, 702, 636, 477

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477


GCD of numbers is the greatest common divisor

So, the GCD (948, 702, 636, 477) = 3.

Find GCD of 948, 702, 636, 477 using Prime Factorization

Given numbers are 948, 702, 636, 477

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 31

Therefore, GCD of 948, 702, 636, 477 is 3.

Steps to Calculate GCD of 948, 702, 636, 477 using LCM Formula

Given numbers are 948, 702, 636, 477

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

Apply this formula for all numbers.

Step1:

LCM(948, 702) = 110916

GCD(948, 702) = ( 948 x 702 ) / 110916

= 948 / 702

= 948


Step2:

LCM(6, 636) = 636

GCD(6, 636) = ( 6 x 636 ) / 636

= 6 / 636

= 6


Step3:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6


So, Greatest Common Divisor of 948, 702, 636, 477 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 702, 636, 477

Given numbers are 948, 702, 636, 477
The greatest common divisor of numbers 948, 702, 636, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 702, 636, 477 is 3.

FAQs on GCD of 948, 702, 636, 477 Calculator

1. What is the GCD of 948, 702, 636, 477?

GCD of given numbers 948, 702, 636, 477 is 3


2. How to calculate the greatest common divisor of 948, 702, 636, 477?

We can find the highest common divisor of 948, 702, 636, 477 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, 702, 636, 477 i.e 3.


3. How can I use the GCD of 948, 702, 636, 477Calculator?

Out the numbers 948, 702, 636, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.