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GCD of 837, 214, 817, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 837, 214, 817, 480 quickly. Get the easiest ways to solve the greatest common divisor of 837, 214, 817, 480 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 837, 214, 817, 480 with Factoring?

Given Input numbers are 837, 214, 817, 480

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

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


GCD of numbers is the greatest common divisor

So, the GCD (837, 214, 817, 480) = 1.

Find GCD of 837, 214, 817, 480 using Prime Factorization

Given numbers are 837, 214, 817, 480

The list of prime factors of all numbers are

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 214 are 2 x 107

Prime factors of 817 are 19 x 43

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

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

Steps to Calculate GCD of 837, 214, 817, 480 using LCM Formula

Given numbers are 837, 214, 817, 480

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

Apply this formula for all numbers.

Step1:

LCM(837, 214) = 179118

GCD(837, 214) = ( 837 x 214 ) / 179118

= 837 / 214

= 837


Step2:

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

= 1 / 817

= 1


Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1


So, Greatest Common Divisor of 837, 214, 817, 480 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 837, 214, 817, 480

Given numbers are 837, 214, 817, 480
The greatest common divisor of numbers 837, 214, 817, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 214, 817, 480 is 1.

FAQs on GCD of 837, 214, 817, 480 Calculator

1. What is the GCD of 837, 214, 817, 480?

GCD of given numbers 837, 214, 817, 480 is 1


2. How to calculate the greatest common divisor of 837, 214, 817, 480?

We can find the highest common divisor of 837, 214, 817, 480 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 837, 214, 817, 480 i.e 1.


3. How can I use the GCD of 837, 214, 817, 480Calculator?

Out the numbers 837, 214, 817, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.