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GCD of 138, 815, 248, 961 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, 815, 248, 961 quickly. Get the easiest ways to solve the greatest common divisor of 138, 815, 248, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 815, 248, 961 with Factoring?

Given Input numbers are 138, 815, 248, 961

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 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (138, 815, 248, 961) = 1.

Find GCD of 138, 815, 248, 961 using Prime Factorization

Given numbers are 138, 815, 248, 961

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 815 are 5 x 163

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 138, 815, 248, 961 using LCM Formula

Given numbers are 138, 815, 248, 961

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

Apply this formula for all numbers.

Step1:

LCM(138, 815) = 112470

GCD(138, 815) = ( 138 x 815 ) / 112470

= 138 / 815

= 138


Step2:

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

= 1 / 248

= 1


Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1


So, Greatest Common Divisor of 138, 815, 248, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 815, 248, 961

Given numbers are 138, 815, 248, 961
The greatest common divisor of numbers 138, 815, 248, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 815, 248, 961 is 1.

FAQs on GCD of 138, 815, 248, 961 Calculator

1. What is the GCD of 138, 815, 248, 961?

GCD of given numbers 138, 815, 248, 961 is 1


2. How to calculate the greatest common divisor of 138, 815, 248, 961?

We can find the highest common divisor of 138, 815, 248, 961 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, 815, 248, 961 i.e 1.


3. How can I use the GCD of 138, 815, 248, 961Calculator?

Out the numbers 138, 815, 248, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.