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GCD of 948, 864, 634, 900 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, 864, 634, 900 quickly. Get the easiest ways to solve the greatest common divisor of 948, 864, 634, 900 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 864, 634, 900 with Factoring?

Given Input numbers are 948, 864, 634, 900

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900


GCD of numbers is the greatest common divisor

So, the GCD (948, 864, 634, 900) = 2.

Find GCD of 948, 864, 634, 900 using Prime Factorization

Given numbers are 948, 864, 634, 900

The list of prime factors of all numbers are

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 634 are 2 x 317

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 948, 864, 634, 900 is 2.

Steps to Calculate GCD of 948, 864, 634, 900 using LCM Formula

Given numbers are 948, 864, 634, 900

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

Apply this formula for all numbers.

Step1:

LCM(948, 864) = 68256

GCD(948, 864) = ( 948 x 864 ) / 68256

= 948 / 864

= 948


Step2:

LCM(12, 634) = 3804

GCD(12, 634) = ( 12 x 634 ) / 3804

= 12 / 634

= 12


Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2


So, Greatest Common Divisor of 948, 864, 634, 900 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 864, 634, 900

Given numbers are 948, 864, 634, 900
The greatest common divisor of numbers 948, 864, 634, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 864, 634, 900 is 2.

FAQs on GCD of 948, 864, 634, 900 Calculator

1. What is the GCD of 948, 864, 634, 900?

GCD of given numbers 948, 864, 634, 900 is 2


2. How to calculate the greatest common divisor of 948, 864, 634, 900?

We can find the highest common divisor of 948, 864, 634, 900 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, 864, 634, 900 i.e 2.


3. How can I use the GCD of 948, 864, 634, 900Calculator?

Out the numbers 948, 864, 634, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.