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GCD of 280, 142, 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 280, 142, 980 quickly. Get the easiest ways to solve the greatest common divisor of 280, 142, 980 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 280, 142, 980 with Factoring?

Given Input numbers are 280, 142, 980

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 (280, 142, 980) = 2.

Find GCD of 280, 142, 980 using Prime Factorization

Given numbers are 280, 142, 980

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 142 are 2 x 71

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

The highest common occurrence is 21

Therefore, GCD of 280, 142, 980 is 2.

Steps to Calculate GCD of 280, 142, 980 using LCM Formula

Given numbers are 280, 142, 980

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

Apply this formula for all numbers.

Step1:

LCM(280, 142) = 19880

GCD(280, 142) = ( 280 x 142 ) / 19880

= 280 / 142

= 280


Step2:

LCM(2, 980) = 980

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

= 2 / 980

= 2


So, Greatest Common Divisor of 280, 142, 980 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 280, 142, 980

Given numbers are 280, 142, 980
The greatest common divisor of numbers 280, 142, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 142, 980 is 2.

FAQs on GCD of 280, 142, 980 Calculator

1. What is the GCD of 280, 142, 980?

GCD of given numbers 280, 142, 980 is 2


2. How to calculate the greatest common divisor of 280, 142, 980?

We can find the highest common divisor of 280, 142, 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 280, 142, 980 i.e 2.


3. How can I use the GCD of 280, 142, 980Calculator?

Out the numbers 280, 142, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.