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GCD of 480, 308, 931, 942 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 308, 931, 942 quickly. Get the easiest ways to solve the greatest common divisor of 480, 308, 931, 942 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 308, 931, 942 with Factoring?

Given Input numbers are 480, 308, 931, 942

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942


GCD of numbers is the greatest common divisor

So, the GCD (480, 308, 931, 942) = 1.

Find GCD of 480, 308, 931, 942 using Prime Factorization

Given numbers are 480, 308, 931, 942

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 931 are 7 x 7 x 19

Prime factors of 942 are 2 x 3 x 157

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

Steps to Calculate GCD of 480, 308, 931, 942 using LCM Formula

Given numbers are 480, 308, 931, 942

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

Apply this formula for all numbers.

Step1:

LCM(480, 308) = 36960

GCD(480, 308) = ( 480 x 308 ) / 36960

= 480 / 308

= 480


Step2:

LCM(4, 931) = 3724

GCD(4, 931) = ( 4 x 931 ) / 3724

= 4 / 931

= 4


Step3:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1


So, Greatest Common Divisor of 480, 308, 931, 942 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 308, 931, 942

Given numbers are 480, 308, 931, 942
The greatest common divisor of numbers 480, 308, 931, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 308, 931, 942 is 1.

FAQs on GCD of 480, 308, 931, 942 Calculator

1. What is the GCD of 480, 308, 931, 942?

GCD of given numbers 480, 308, 931, 942 is 1


2. How to calculate the greatest common divisor of 480, 308, 931, 942?

We can find the highest common divisor of 480, 308, 931, 942 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 480, 308, 931, 942 i.e 1.


3. How can I use the GCD of 480, 308, 931, 942Calculator?

Out the numbers 480, 308, 931, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.