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GCD of 837, 986, 828, 560 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, 986, 828, 560 quickly. Get the easiest ways to solve the greatest common divisor of 837, 986, 828, 560 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 837, 986, 828, 560 with Factoring?

Given Input numbers are 837, 986, 828, 560

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560


GCD of numbers is the greatest common divisor

So, the GCD (837, 986, 828, 560) = 1.

Find GCD of 837, 986, 828, 560 using Prime Factorization

Given numbers are 837, 986, 828, 560

The list of prime factors of all numbers are

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 837, 986, 828, 560 using LCM Formula

Given numbers are 837, 986, 828, 560

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

Apply this formula for all numbers.

Step1:

LCM(837, 986) = 825282

GCD(837, 986) = ( 837 x 986 ) / 825282

= 837 / 986

= 837


Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1


Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1


So, Greatest Common Divisor of 837, 986, 828, 560 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 837, 986, 828, 560

Given numbers are 837, 986, 828, 560
The greatest common divisor of numbers 837, 986, 828, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 986, 828, 560 is 1.

FAQs on GCD of 837, 986, 828, 560 Calculator

1. What is the GCD of 837, 986, 828, 560?

GCD of given numbers 837, 986, 828, 560 is 1


2. How to calculate the greatest common divisor of 837, 986, 828, 560?

We can find the highest common divisor of 837, 986, 828, 560 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, 986, 828, 560 i.e 1.


3. How can I use the GCD of 837, 986, 828, 560Calculator?

Out the numbers 837, 986, 828, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.