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GCD of 540, 484, 298, 157 Calculator

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


Online GCD Calculator is useful to find the GCD of 540, 484, 298, 157 quickly. Get the easiest ways to solve the greatest common divisor of 540, 484, 298, 157 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 540, 484, 298, 157 with Factoring?

Given Input numbers are 540, 484, 298, 157

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157


GCD of numbers is the greatest common divisor

So, the GCD (540, 484, 298, 157) = 1.

Find GCD of 540, 484, 298, 157 using Prime Factorization

Given numbers are 540, 484, 298, 157

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 298 are 2 x 149

Prime factors of 157 are 157

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

Steps to Calculate GCD of 540, 484, 298, 157 using LCM Formula

Given numbers are 540, 484, 298, 157

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

Apply this formula for all numbers.

Step1:

LCM(540, 484) = 65340

GCD(540, 484) = ( 540 x 484 ) / 65340

= 540 / 484

= 540


Step2:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4


Step3:

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

= 2 / 157

= 2


So, Greatest Common Divisor of 540, 484, 298, 157 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 540, 484, 298, 157

Given numbers are 540, 484, 298, 157
The greatest common divisor of numbers 540, 484, 298, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 484, 298, 157 is 1.

FAQs on GCD of 540, 484, 298, 157 Calculator

1. What is the GCD of 540, 484, 298, 157?

GCD of given numbers 540, 484, 298, 157 is 1


2. How to calculate the greatest common divisor of 540, 484, 298, 157?

We can find the highest common divisor of 540, 484, 298, 157 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 540, 484, 298, 157 i.e 1.


3. How can I use the GCD of 540, 484, 298, 157Calculator?

Out the numbers 540, 484, 298, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.