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GCD of 987, 112, 733 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, 112, 733 quickly. Get the easiest ways to solve the greatest common divisor of 987, 112, 733 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 112, 733 with Factoring?

Given Input numbers are 987, 112, 733

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733


GCD of numbers is the greatest common divisor

So, the GCD (987, 112, 733) = 1.

Find GCD of 987, 112, 733 using Prime Factorization

Given numbers are 987, 112, 733

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 733 are 733

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

Steps to Calculate GCD of 987, 112, 733 using LCM Formula

Given numbers are 987, 112, 733

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

Apply this formula for all numbers.

Step1:

LCM(987, 112) = 15792

GCD(987, 112) = ( 987 x 112 ) / 15792

= 987 / 112

= 987


Step2:

LCM(7, 733) = 5131

GCD(7, 733) = ( 7 x 733 ) / 5131

= 7 / 733

= 7


So, Greatest Common Divisor of 987, 112, 733 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 112, 733

Given numbers are 987, 112, 733
The greatest common divisor of numbers 987, 112, 733 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 112, 733 is 1.

FAQs on GCD of 987, 112, 733 Calculator

1. What is the GCD of 987, 112, 733?

GCD of given numbers 987, 112, 733 is 1


2. How to calculate the greatest common divisor of 987, 112, 733?

We can find the highest common divisor of 987, 112, 733 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, 112, 733 i.e 1.


3. How can I use the GCD of 987, 112, 733Calculator?

Out the numbers 987, 112, 733 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.