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GCD of 540, 770, 130 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, 770, 130 quickly. Get the easiest ways to solve the greatest common divisor of 540, 770, 130 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 540, 770, 130 with Factoring?

Given Input numbers are 540, 770, 130

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130


GCD of numbers is the greatest common divisor

So, the GCD (540, 770, 130) = 10.

Find GCD of 540, 770, 130 using Prime Factorization

Given numbers are 540, 770, 130

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 770 are 2 x 5 x 7 x 11

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 21 x 51

Therefore, GCD of 540, 770, 130 is 10.

Steps to Calculate GCD of 540, 770, 130 using LCM Formula

Given numbers are 540, 770, 130

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

Apply this formula for all numbers.

Step1:

LCM(540, 770) = 41580

GCD(540, 770) = ( 540 x 770 ) / 41580

= 540 / 770

= 540


Step2:

LCM(10, 130) = 130

GCD(10, 130) = ( 10 x 130 ) / 130

= 10 / 130

= 10


So, Greatest Common Divisor of 540, 770, 130 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 540, 770, 130

Given numbers are 540, 770, 130
The greatest common divisor of numbers 540, 770, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 770, 130 is 10.

FAQs on GCD of 540, 770, 130 Calculator

1. What is the GCD of 540, 770, 130?

GCD of given numbers 540, 770, 130 is 10


2. How to calculate the greatest common divisor of 540, 770, 130?

We can find the highest common divisor of 540, 770, 130 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, 770, 130 i.e 10.


3. How can I use the GCD of 540, 770, 130Calculator?

Out the numbers 540, 770, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.