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GCD of 138, 975, 160, 239 Calculator

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


Online GCD Calculator is useful to find the GCD of 138, 975, 160, 239 quickly. Get the easiest ways to solve the greatest common divisor of 138, 975, 160, 239 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 975, 160, 239 with Factoring?

Given Input numbers are 138, 975, 160, 239

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

Divisors of 138 :

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

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239


GCD of numbers is the greatest common divisor

So, the GCD (138, 975, 160, 239) = 1.

Find GCD of 138, 975, 160, 239 using Prime Factorization

Given numbers are 138, 975, 160, 239

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 239 are 239

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

Steps to Calculate GCD of 138, 975, 160, 239 using LCM Formula

Given numbers are 138, 975, 160, 239

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

Apply this formula for all numbers.

Step1:

LCM(138, 975) = 44850

GCD(138, 975) = ( 138 x 975 ) / 44850

= 138 / 975

= 138


Step2:

LCM(3, 160) = 480

GCD(3, 160) = ( 3 x 160 ) / 480

= 3 / 160

= 3


Step3:

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

= 1 / 239

= 1


So, Greatest Common Divisor of 138, 975, 160, 239 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 975, 160, 239

Given numbers are 138, 975, 160, 239
The greatest common divisor of numbers 138, 975, 160, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 975, 160, 239 is 1.

FAQs on GCD of 138, 975, 160, 239 Calculator

1. What is the GCD of 138, 975, 160, 239?

GCD of given numbers 138, 975, 160, 239 is 1


2. How to calculate the greatest common divisor of 138, 975, 160, 239?

We can find the highest common divisor of 138, 975, 160, 239 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 138, 975, 160, 239 i.e 1.


3. How can I use the GCD of 138, 975, 160, 239Calculator?

Out the numbers 138, 975, 160, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.