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GCD of 375, 138, 585, 140 Calculator

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


Online GCD Calculator is useful to find the GCD of 375, 138, 585, 140 quickly. Get the easiest ways to solve the greatest common divisor of 375, 138, 585, 140 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 375, 138, 585, 140 with Factoring?

Given Input numbers are 375, 138, 585, 140

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 138 :

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

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (375, 138, 585, 140) = 1.

Find GCD of 375, 138, 585, 140 using Prime Factorization

Given numbers are 375, 138, 585, 140

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 375, 138, 585, 140 using LCM Formula

Given numbers are 375, 138, 585, 140

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

Apply this formula for all numbers.

Step1:

LCM(375, 138) = 17250

GCD(375, 138) = ( 375 x 138 ) / 17250

= 375 / 138

= 375


Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3


Step3:

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

= 3 / 140

= 3


So, Greatest Common Divisor of 375, 138, 585, 140 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 375, 138, 585, 140

Given numbers are 375, 138, 585, 140
The greatest common divisor of numbers 375, 138, 585, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 138, 585, 140 is 1.

FAQs on GCD of 375, 138, 585, 140 Calculator

1. What is the GCD of 375, 138, 585, 140?

GCD of given numbers 375, 138, 585, 140 is 1


2. How to calculate the greatest common divisor of 375, 138, 585, 140?

We can find the highest common divisor of 375, 138, 585, 140 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 375, 138, 585, 140 i.e 1.


3. How can I use the GCD of 375, 138, 585, 140Calculator?

Out the numbers 375, 138, 585, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.