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GCD of 138, 987, 401, 587 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, 987, 401, 587 quickly. Get the easiest ways to solve the greatest common divisor of 138, 987, 401, 587 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 987, 401, 587 with Factoring?

Given Input numbers are 138, 987, 401, 587

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587


GCD of numbers is the greatest common divisor

So, the GCD (138, 987, 401, 587) = 1.

Find GCD of 138, 987, 401, 587 using Prime Factorization

Given numbers are 138, 987, 401, 587

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 987 are 3 x 7 x 47

Prime factors of 401 are 401

Prime factors of 587 are 587

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

Steps to Calculate GCD of 138, 987, 401, 587 using LCM Formula

Given numbers are 138, 987, 401, 587

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

Apply this formula for all numbers.

Step1:

LCM(138, 987) = 45402

GCD(138, 987) = ( 138 x 987 ) / 45402

= 138 / 987

= 138


Step2:

LCM(3, 401) = 1203

GCD(3, 401) = ( 3 x 401 ) / 1203

= 3 / 401

= 3


Step3:

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

= 1 / 587

= 1


So, Greatest Common Divisor of 138, 987, 401, 587 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 987, 401, 587

Given numbers are 138, 987, 401, 587
The greatest common divisor of numbers 138, 987, 401, 587 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 987, 401, 587 is 1.

FAQs on GCD of 138, 987, 401, 587 Calculator

1. What is the GCD of 138, 987, 401, 587?

GCD of given numbers 138, 987, 401, 587 is 1


2. How to calculate the greatest common divisor of 138, 987, 401, 587?

We can find the highest common divisor of 138, 987, 401, 587 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, 987, 401, 587 i.e 1.


3. How can I use the GCD of 138, 987, 401, 587Calculator?

Out the numbers 138, 987, 401, 587 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.