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GCD of 852, 122, 870 Calculator

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


Online GCD Calculator is useful to find the GCD of 852, 122, 870 quickly. Get the easiest ways to solve the greatest common divisor of 852, 122, 870 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 852, 122, 870 with Factoring?

Given Input numbers are 852, 122, 870

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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


GCD of numbers is the greatest common divisor

So, the GCD (852, 122, 870) = 2.

Find GCD of 852, 122, 870 using Prime Factorization

Given numbers are 852, 122, 870

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 122 are 2 x 61

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

The highest common occurrence is 21

Therefore, GCD of 852, 122, 870 is 2.

Steps to Calculate GCD of 852, 122, 870 using LCM Formula

Given numbers are 852, 122, 870

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

Apply this formula for all numbers.

Step1:

LCM(852, 122) = 51972

GCD(852, 122) = ( 852 x 122 ) / 51972

= 852 / 122

= 852


Step2:

LCM(2, 870) = 870

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

= 2 / 870

= 2


So, Greatest Common Divisor of 852, 122, 870 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 852, 122, 870

Given numbers are 852, 122, 870
The greatest common divisor of numbers 852, 122, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 122, 870 is 2.

FAQs on GCD of 852, 122, 870 Calculator

1. What is the GCD of 852, 122, 870?

GCD of given numbers 852, 122, 870 is 2


2. How to calculate the greatest common divisor of 852, 122, 870?

We can find the highest common divisor of 852, 122, 870 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 852, 122, 870 i.e 2.


3. How can I use the GCD of 852, 122, 870Calculator?

Out the numbers 852, 122, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.