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GCD of 920, 368, 14, 279 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, 368, 14, 279 quickly. Get the easiest ways to solve the greatest common divisor of 920, 368, 14, 279 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 368, 14, 279 with Factoring?

Given Input numbers are 920, 368, 14, 279

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279


GCD of numbers is the greatest common divisor

So, the GCD (920, 368, 14, 279) = 1.

Find GCD of 920, 368, 14, 279 using Prime Factorization

Given numbers are 920, 368, 14, 279

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 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 14 are 2 x 7

Prime factors of 279 are 3 x 3 x 31

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

Steps to Calculate GCD of 920, 368, 14, 279 using LCM Formula

Given numbers are 920, 368, 14, 279

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

Apply this formula for all numbers.

Step1:

LCM(920, 368) = 1840

GCD(920, 368) = ( 920 x 368 ) / 1840

= 920 / 368

= 920


Step2:

LCM(184, 14) = 1288

GCD(184, 14) = ( 184 x 14 ) / 1288

= 184 / 14

= 184


Step3:

LCM(2, 279) = 558

GCD(2, 279) = ( 2 x 279 ) / 558

= 2 / 279

= 2


So, Greatest Common Divisor of 920, 368, 14, 279 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 368, 14, 279

Given numbers are 920, 368, 14, 279
The greatest common divisor of numbers 920, 368, 14, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 368, 14, 279 is 1.

FAQs on GCD of 920, 368, 14, 279 Calculator

1. What is the GCD of 920, 368, 14, 279?

GCD of given numbers 920, 368, 14, 279 is 1


2. How to calculate the greatest common divisor of 920, 368, 14, 279?

We can find the highest common divisor of 920, 368, 14, 279 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, 368, 14, 279 i.e 1.


3. How can I use the GCD of 920, 368, 14, 279Calculator?

Out the numbers 920, 368, 14, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.