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GCD of 540, 764, 387, 159 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, 764, 387, 159 quickly. Get the easiest ways to solve the greatest common divisor of 540, 764, 387, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 540, 764, 387, 159 with Factoring?

Given Input numbers are 540, 764, 387, 159

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (540, 764, 387, 159) = 1.

Find GCD of 540, 764, 387, 159 using Prime Factorization

Given numbers are 540, 764, 387, 159

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 764 are 2 x 2 x 191

Prime factors of 387 are 3 x 3 x 43

Prime factors of 159 are 3 x 53

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

Steps to Calculate GCD of 540, 764, 387, 159 using LCM Formula

Given numbers are 540, 764, 387, 159

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

Apply this formula for all numbers.

Step1:

LCM(540, 764) = 103140

GCD(540, 764) = ( 540 x 764 ) / 103140

= 540 / 764

= 540


Step2:

LCM(4, 387) = 1548

GCD(4, 387) = ( 4 x 387 ) / 1548

= 4 / 387

= 4


Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1


So, Greatest Common Divisor of 540, 764, 387, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 540, 764, 387, 159

Given numbers are 540, 764, 387, 159
The greatest common divisor of numbers 540, 764, 387, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 764, 387, 159 is 1.

FAQs on GCD of 540, 764, 387, 159 Calculator

1. What is the GCD of 540, 764, 387, 159?

GCD of given numbers 540, 764, 387, 159 is 1


2. How to calculate the greatest common divisor of 540, 764, 387, 159?

We can find the highest common divisor of 540, 764, 387, 159 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, 764, 387, 159 i.e 1.


3. How can I use the GCD of 540, 764, 387, 159Calculator?

Out the numbers 540, 764, 387, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.