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GCD of 870, 346, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 870, 346, 980 quickly. Get the easiest ways to solve the greatest common divisor of 870, 346, 980 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 870, 346, 980 with Factoring?

Given Input numbers are 870, 346, 980

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

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 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (870, 346, 980) = 2.

Find GCD of 870, 346, 980 using Prime Factorization

Given numbers are 870, 346, 980

The list of prime factors of all numbers are

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

Prime factors of 346 are 2 x 173

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 870, 346, 980 is 2.

Steps to Calculate GCD of 870, 346, 980 using LCM Formula

Given numbers are 870, 346, 980

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

Apply this formula for all numbers.

Step1:

LCM(870, 346) = 150510

GCD(870, 346) = ( 870 x 346 ) / 150510

= 870 / 346

= 870


Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2


So, Greatest Common Divisor of 870, 346, 980 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 870, 346, 980

Given numbers are 870, 346, 980
The greatest common divisor of numbers 870, 346, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 346, 980 is 2.

FAQs on GCD of 870, 346, 980 Calculator

1. What is the GCD of 870, 346, 980?

GCD of given numbers 870, 346, 980 is 2


2. How to calculate the greatest common divisor of 870, 346, 980?

We can find the highest common divisor of 870, 346, 980 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 870, 346, 980 i.e 2.


3. How can I use the GCD of 870, 346, 980Calculator?

Out the numbers 870, 346, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.