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GCD of 172, 870, 988 Calculator

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


Online GCD Calculator is useful to find the GCD of 172, 870, 988 quickly. Get the easiest ways to solve the greatest common divisor of 172, 870, 988 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 172, 870, 988 with Factoring?

Given Input numbers are 172, 870, 988

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988


GCD of numbers is the greatest common divisor

So, the GCD (172, 870, 988) = 2.

Find GCD of 172, 870, 988 using Prime Factorization

Given numbers are 172, 870, 988

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

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

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 21

Therefore, GCD of 172, 870, 988 is 2.

Steps to Calculate GCD of 172, 870, 988 using LCM Formula

Given numbers are 172, 870, 988

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

Apply this formula for all numbers.

Step1:

LCM(172, 870) = 74820

GCD(172, 870) = ( 172 x 870 ) / 74820

= 172 / 870

= 172


Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2


So, Greatest Common Divisor of 172, 870, 988 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 172, 870, 988

Given numbers are 172, 870, 988
The greatest common divisor of numbers 172, 870, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 870, 988 is 2.

FAQs on GCD of 172, 870, 988 Calculator

1. What is the GCD of 172, 870, 988?

GCD of given numbers 172, 870, 988 is 2


2. How to calculate the greatest common divisor of 172, 870, 988?

We can find the highest common divisor of 172, 870, 988 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 172, 870, 988 i.e 2.


3. How can I use the GCD of 172, 870, 988Calculator?

Out the numbers 172, 870, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.