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GCD of 687, 112, 913, 307 Calculator

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


Online GCD Calculator is useful to find the GCD of 687, 112, 913, 307 quickly. Get the easiest ways to solve the greatest common divisor of 687, 112, 913, 307 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 687, 112, 913, 307 with Factoring?

Given Input numbers are 687, 112, 913, 307

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

Divisors of 687 :

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

1, 3, 229, 687

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 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307


GCD of numbers is the greatest common divisor

So, the GCD (687, 112, 913, 307) = 1.

Find GCD of 687, 112, 913, 307 using Prime Factorization

Given numbers are 687, 112, 913, 307

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

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

Prime factors of 913 are 11 x 83

Prime factors of 307 are 307

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

Steps to Calculate GCD of 687, 112, 913, 307 using LCM Formula

Given numbers are 687, 112, 913, 307

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

Apply this formula for all numbers.

Step1:

LCM(687, 112) = 76944

GCD(687, 112) = ( 687 x 112 ) / 76944

= 687 / 112

= 687


Step2:

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

= 1 / 913

= 1


Step3:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1


So, Greatest Common Divisor of 687, 112, 913, 307 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 687, 112, 913, 307

Given numbers are 687, 112, 913, 307
The greatest common divisor of numbers 687, 112, 913, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 112, 913, 307 is 1.

FAQs on GCD of 687, 112, 913, 307 Calculator

1. What is the GCD of 687, 112, 913, 307?

GCD of given numbers 687, 112, 913, 307 is 1


2. How to calculate the greatest common divisor of 687, 112, 913, 307?

We can find the highest common divisor of 687, 112, 913, 307 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 687, 112, 913, 307 i.e 1.


3. How can I use the GCD of 687, 112, 913, 307Calculator?

Out the numbers 687, 112, 913, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.