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GCD of 645, 538, 138, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 645, 538, 138, 150 quickly. Get the easiest ways to solve the greatest common divisor of 645, 538, 138, 150 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 645, 538, 138, 150 with Factoring?

Given Input numbers are 645, 538, 138, 150

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150


GCD of numbers is the greatest common divisor

So, the GCD (645, 538, 138, 150) = 1.

Find GCD of 645, 538, 138, 150 using Prime Factorization

Given numbers are 645, 538, 138, 150

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 538 are 2 x 269

Prime factors of 138 are 2 x 3 x 23

Prime factors of 150 are 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 645, 538, 138, 150 using LCM Formula

Given numbers are 645, 538, 138, 150

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

Apply this formula for all numbers.

Step1:

LCM(645, 538) = 347010

GCD(645, 538) = ( 645 x 538 ) / 347010

= 645 / 538

= 645


Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1


So, Greatest Common Divisor of 645, 538, 138, 150 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 645, 538, 138, 150

Given numbers are 645, 538, 138, 150
The greatest common divisor of numbers 645, 538, 138, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 538, 138, 150 is 1.

FAQs on GCD of 645, 538, 138, 150 Calculator

1. What is the GCD of 645, 538, 138, 150?

GCD of given numbers 645, 538, 138, 150 is 1


2. How to calculate the greatest common divisor of 645, 538, 138, 150?

We can find the highest common divisor of 645, 538, 138, 150 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 645, 538, 138, 150 i.e 1.


3. How can I use the GCD of 645, 538, 138, 150Calculator?

Out the numbers 645, 538, 138, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.