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GCD of 987, 185, 707, 831 Calculator

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


Online GCD Calculator is useful to find the GCD of 987, 185, 707, 831 quickly. Get the easiest ways to solve the greatest common divisor of 987, 185, 707, 831 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 185, 707, 831 with Factoring?

Given Input numbers are 987, 185, 707, 831

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

Divisors of 987 :

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

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

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831


GCD of numbers is the greatest common divisor

So, the GCD (987, 185, 707, 831) = 1.

Find GCD of 987, 185, 707, 831 using Prime Factorization

Given numbers are 987, 185, 707, 831

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 185 are 5 x 37

Prime factors of 707 are 7 x 101

Prime factors of 831 are 3 x 277

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

Steps to Calculate GCD of 987, 185, 707, 831 using LCM Formula

Given numbers are 987, 185, 707, 831

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

Apply this formula for all numbers.

Step1:

LCM(987, 185) = 182595

GCD(987, 185) = ( 987 x 185 ) / 182595

= 987 / 185

= 987


Step2:

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

= 1 / 707

= 1


Step3:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1


So, Greatest Common Divisor of 987, 185, 707, 831 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 185, 707, 831

Given numbers are 987, 185, 707, 831
The greatest common divisor of numbers 987, 185, 707, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 185, 707, 831 is 1.

FAQs on GCD of 987, 185, 707, 831 Calculator

1. What is the GCD of 987, 185, 707, 831?

GCD of given numbers 987, 185, 707, 831 is 1


2. How to calculate the greatest common divisor of 987, 185, 707, 831?

We can find the highest common divisor of 987, 185, 707, 831 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 987, 185, 707, 831 i.e 1.


3. How can I use the GCD of 987, 185, 707, 831Calculator?

Out the numbers 987, 185, 707, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.