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 119, 924, 107, 687 Calculator

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


Online GCD Calculator is useful to find the GCD of 119, 924, 107, 687 quickly. Get the easiest ways to solve the greatest common divisor of 119, 924, 107, 687 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 119, 924, 107, 687 with Factoring?

Given Input numbers are 119, 924, 107, 687

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

Divisors of 119 :

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

1, 7, 17, 119

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687


GCD of numbers is the greatest common divisor

So, the GCD (119, 924, 107, 687) = 1.

Find GCD of 119, 924, 107, 687 using Prime Factorization

Given numbers are 119, 924, 107, 687

The list of prime factors of all numbers are

Prime factors of 119 are 7 x 17

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 107 are 107

Prime factors of 687 are 3 x 229

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

Steps to Calculate GCD of 119, 924, 107, 687 using LCM Formula

Given numbers are 119, 924, 107, 687

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

Apply this formula for all numbers.

Step1:

LCM(119, 924) = 15708

GCD(119, 924) = ( 119 x 924 ) / 15708

= 119 / 924

= 119


Step2:

LCM(7, 107) = 749

GCD(7, 107) = ( 7 x 107 ) / 749

= 7 / 107

= 7


Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1


So, Greatest Common Divisor of 119, 924, 107, 687 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 119, 924, 107, 687

Given numbers are 119, 924, 107, 687
The greatest common divisor of numbers 119, 924, 107, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 924, 107, 687 is 1.

FAQs on GCD of 119, 924, 107, 687 Calculator

1. What is the GCD of 119, 924, 107, 687?

GCD of given numbers 119, 924, 107, 687 is 1


2. How to calculate the greatest common divisor of 119, 924, 107, 687?

We can find the highest common divisor of 119, 924, 107, 687 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 119, 924, 107, 687 i.e 1.


3. How can I use the GCD of 119, 924, 107, 687Calculator?

Out the numbers 119, 924, 107, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.