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GCD of 920, 630, 144, 357 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 630, 144, 357 quickly. Get the easiest ways to solve the greatest common divisor of 920, 630, 144, 357 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 630, 144, 357 with Factoring?

Given Input numbers are 920, 630, 144, 357

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357


GCD of numbers is the greatest common divisor

So, the GCD (920, 630, 144, 357) = 1.

Find GCD of 920, 630, 144, 357 using Prime Factorization

Given numbers are 920, 630, 144, 357

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 357 are 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 920, 630, 144, 357 using LCM Formula

Given numbers are 920, 630, 144, 357

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

Apply this formula for all numbers.

Step1:

LCM(920, 630) = 57960

GCD(920, 630) = ( 920 x 630 ) / 57960

= 920 / 630

= 920


Step2:

LCM(10, 144) = 720

GCD(10, 144) = ( 10 x 144 ) / 720

= 10 / 144

= 10


Step3:

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

= 2 / 357

= 2


So, Greatest Common Divisor of 920, 630, 144, 357 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 630, 144, 357

Given numbers are 920, 630, 144, 357
The greatest common divisor of numbers 920, 630, 144, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 630, 144, 357 is 1.

FAQs on GCD of 920, 630, 144, 357 Calculator

1. What is the GCD of 920, 630, 144, 357?

GCD of given numbers 920, 630, 144, 357 is 1


2. How to calculate the greatest common divisor of 920, 630, 144, 357?

We can find the highest common divisor of 920, 630, 144, 357 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 920, 630, 144, 357 i.e 1.


3. How can I use the GCD of 920, 630, 144, 357Calculator?

Out the numbers 920, 630, 144, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.