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GCD of 118, 822, 870, 829 Calculator

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


Online GCD Calculator is useful to find the GCD of 118, 822, 870, 829 quickly. Get the easiest ways to solve the greatest common divisor of 118, 822, 870, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 118, 822, 870, 829 with Factoring?

Given Input numbers are 118, 822, 870, 829

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (118, 822, 870, 829) = 1.

Find GCD of 118, 822, 870, 829 using Prime Factorization

Given numbers are 118, 822, 870, 829

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 822 are 2 x 3 x 137

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 829 are 829

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

Steps to Calculate GCD of 118, 822, 870, 829 using LCM Formula

Given numbers are 118, 822, 870, 829

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

Apply this formula for all numbers.

Step1:

LCM(118, 822) = 48498

GCD(118, 822) = ( 118 x 822 ) / 48498

= 118 / 822

= 118


Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2


Step3:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2


So, Greatest Common Divisor of 118, 822, 870, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 118, 822, 870, 829

Given numbers are 118, 822, 870, 829
The greatest common divisor of numbers 118, 822, 870, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 822, 870, 829 is 1.

FAQs on GCD of 118, 822, 870, 829 Calculator

1. What is the GCD of 118, 822, 870, 829?

GCD of given numbers 118, 822, 870, 829 is 1


2. How to calculate the greatest common divisor of 118, 822, 870, 829?

We can find the highest common divisor of 118, 822, 870, 829 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 118, 822, 870, 829 i.e 1.


3. How can I use the GCD of 118, 822, 870, 829Calculator?

Out the numbers 118, 822, 870, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.