LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 987, 969, 916, 119 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, 969, 916, 119 quickly. Get the easiest ways to solve the greatest common divisor of 987, 969, 916, 119 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 969, 916, 119 with Factoring?

Given Input numbers are 987, 969, 916, 119

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119


GCD of numbers is the greatest common divisor

So, the GCD (987, 969, 916, 119) = 1.

Find GCD of 987, 969, 916, 119 using Prime Factorization

Given numbers are 987, 969, 916, 119

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 969 are 3 x 17 x 19

Prime factors of 916 are 2 x 2 x 229

Prime factors of 119 are 7 x 17

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

Steps to Calculate GCD of 987, 969, 916, 119 using LCM Formula

Given numbers are 987, 969, 916, 119

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

Apply this formula for all numbers.

Step1:

LCM(987, 969) = 318801

GCD(987, 969) = ( 987 x 969 ) / 318801

= 987 / 969

= 987


Step2:

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

= 3 / 916

= 3


Step3:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1


So, Greatest Common Divisor of 987, 969, 916, 119 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 969, 916, 119

Given numbers are 987, 969, 916, 119
The greatest common divisor of numbers 987, 969, 916, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 969, 916, 119 is 1.

FAQs on GCD of 987, 969, 916, 119 Calculator

1. What is the GCD of 987, 969, 916, 119?

GCD of given numbers 987, 969, 916, 119 is 1


2. How to calculate the greatest common divisor of 987, 969, 916, 119?

We can find the highest common divisor of 987, 969, 916, 119 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, 969, 916, 119 i.e 1.


3. How can I use the GCD of 987, 969, 916, 119Calculator?

Out the numbers 987, 969, 916, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.