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GCD of 840, 360, 113, 868 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 360, 113, 868 quickly. Get the easiest ways to solve the greatest common divisor of 840, 360, 113, 868 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 360, 113, 868 with Factoring?

Given Input numbers are 840, 360, 113, 868

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868


GCD of numbers is the greatest common divisor

So, the GCD (840, 360, 113, 868) = 1.

Find GCD of 840, 360, 113, 868 using Prime Factorization

Given numbers are 840, 360, 113, 868

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 113 are 113

Prime factors of 868 are 2 x 2 x 7 x 31

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

Steps to Calculate GCD of 840, 360, 113, 868 using LCM Formula

Given numbers are 840, 360, 113, 868

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

Apply this formula for all numbers.

Step1:

LCM(840, 360) = 2520

GCD(840, 360) = ( 840 x 360 ) / 2520

= 840 / 360

= 840


Step2:

LCM(120, 113) = 13560

GCD(120, 113) = ( 120 x 113 ) / 13560

= 120 / 113

= 120


Step3:

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

= 1 / 868

= 1


So, Greatest Common Divisor of 840, 360, 113, 868 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 360, 113, 868

Given numbers are 840, 360, 113, 868
The greatest common divisor of numbers 840, 360, 113, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 360, 113, 868 is 1.

FAQs on GCD of 840, 360, 113, 868 Calculator

1. What is the GCD of 840, 360, 113, 868?

GCD of given numbers 840, 360, 113, 868 is 1


2. How to calculate the greatest common divisor of 840, 360, 113, 868?

We can find the highest common divisor of 840, 360, 113, 868 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 840, 360, 113, 868 i.e 1.


3. How can I use the GCD of 840, 360, 113, 868Calculator?

Out the numbers 840, 360, 113, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.