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GCD of 312, 300, 695, 387 Calculator

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


Online GCD Calculator is useful to find the GCD of 312, 300, 695, 387 quickly. Get the easiest ways to solve the greatest common divisor of 312, 300, 695, 387 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 312, 300, 695, 387 with Factoring?

Given Input numbers are 312, 300, 695, 387

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387


GCD of numbers is the greatest common divisor

So, the GCD (312, 300, 695, 387) = 1.

Find GCD of 312, 300, 695, 387 using Prime Factorization

Given numbers are 312, 300, 695, 387

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 695 are 5 x 139

Prime factors of 387 are 3 x 3 x 43

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

Steps to Calculate GCD of 312, 300, 695, 387 using LCM Formula

Given numbers are 312, 300, 695, 387

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

Apply this formula for all numbers.

Step1:

LCM(312, 300) = 7800

GCD(312, 300) = ( 312 x 300 ) / 7800

= 312 / 300

= 312


Step2:

LCM(12, 695) = 8340

GCD(12, 695) = ( 12 x 695 ) / 8340

= 12 / 695

= 12


Step3:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1


So, Greatest Common Divisor of 312, 300, 695, 387 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 312, 300, 695, 387

Given numbers are 312, 300, 695, 387
The greatest common divisor of numbers 312, 300, 695, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 300, 695, 387 is 1.

FAQs on GCD of 312, 300, 695, 387 Calculator

1. What is the GCD of 312, 300, 695, 387?

GCD of given numbers 312, 300, 695, 387 is 1


2. How to calculate the greatest common divisor of 312, 300, 695, 387?

We can find the highest common divisor of 312, 300, 695, 387 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 312, 300, 695, 387 i.e 1.


3. How can I use the GCD of 312, 300, 695, 387Calculator?

Out the numbers 312, 300, 695, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.