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GCD of 273, 978, 149, 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 273, 978, 149, 980 quickly. Get the easiest ways to solve the greatest common divisor of 273, 978, 149, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 273, 978, 149, 980 with Factoring?

Given Input numbers are 273, 978, 149, 980

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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 (273, 978, 149, 980) = 1.

Find GCD of 273, 978, 149, 980 using Prime Factorization

Given numbers are 273, 978, 149, 980

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 149 are 149

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

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

Steps to Calculate GCD of 273, 978, 149, 980 using LCM Formula

Given numbers are 273, 978, 149, 980

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

Apply this formula for all numbers.

Step1:

LCM(273, 978) = 88998

GCD(273, 978) = ( 273 x 978 ) / 88998

= 273 / 978

= 273


Step2:

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

= 3 / 149

= 3


Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


So, Greatest Common Divisor of 273, 978, 149, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 273, 978, 149, 980

Given numbers are 273, 978, 149, 980
The greatest common divisor of numbers 273, 978, 149, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 978, 149, 980 is 1.

FAQs on GCD of 273, 978, 149, 980 Calculator

1. What is the GCD of 273, 978, 149, 980?

GCD of given numbers 273, 978, 149, 980 is 1


2. How to calculate the greatest common divisor of 273, 978, 149, 980?

We can find the highest common divisor of 273, 978, 149, 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 273, 978, 149, 980 i.e 1.


3. How can I use the GCD of 273, 978, 149, 980Calculator?

Out the numbers 273, 978, 149, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.