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GCD of 960, 248, 630, 756 Calculator

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


Online GCD Calculator is useful to find the GCD of 960, 248, 630, 756 quickly. Get the easiest ways to solve the greatest common divisor of 960, 248, 630, 756 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 960, 248, 630, 756 with Factoring?

Given Input numbers are 960, 248, 630, 756

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756


GCD of numbers is the greatest common divisor

So, the GCD (960, 248, 630, 756) = 2.

Find GCD of 960, 248, 630, 756 using Prime Factorization

Given numbers are 960, 248, 630, 756

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 960, 248, 630, 756 is 2.

Steps to Calculate GCD of 960, 248, 630, 756 using LCM Formula

Given numbers are 960, 248, 630, 756

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

Apply this formula for all numbers.

Step1:

LCM(960, 248) = 29760

GCD(960, 248) = ( 960 x 248 ) / 29760

= 960 / 248

= 960


Step2:

LCM(8, 630) = 2520

GCD(8, 630) = ( 8 x 630 ) / 2520

= 8 / 630

= 8


Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2


So, Greatest Common Divisor of 960, 248, 630, 756 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 960, 248, 630, 756

Given numbers are 960, 248, 630, 756
The greatest common divisor of numbers 960, 248, 630, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 248, 630, 756 is 2.

FAQs on GCD of 960, 248, 630, 756 Calculator

1. What is the GCD of 960, 248, 630, 756?

GCD of given numbers 960, 248, 630, 756 is 2


2. How to calculate the greatest common divisor of 960, 248, 630, 756?

We can find the highest common divisor of 960, 248, 630, 756 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 960, 248, 630, 756 i.e 2.


3. How can I use the GCD of 960, 248, 630, 756Calculator?

Out the numbers 960, 248, 630, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.