GCD of 718, 300, 57, 812 Calculator

Given Input numbers are 718, 300, 57, 812

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 718, 300, 57, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 300, 57, 812 is 1.

Therefore, GCD of numbers 718, 300, 57, 812 is 1

Given Input Data is 718, 300, 57, 812

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 718 is 2 x 359

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 57 is 3 x 19

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(718, 300) = 107700

GCD(718, 300) = ( 718 x 300 ) / 107700

GCD(718, 300) = 215400 / 107700

GCD(718, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 718, 300, 57, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 232, 17, 766
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• GCD of 208, 140, 76, 719
• GCD of 572, 200, 97, 472
• GCD of 692, 105, 15, 471

1. What is the GCD of 718, 300, 57, 812?

GCD of 718, 300, 57, 812 is 1

2. Where do I get the detailed procedure to find GCD of 718, 300, 57, 812?

You can find a detailed procedure to find GCD of 718, 300, 57, 812 on our page.

3. How to find GCD of 718, 300, 57, 812 on a calculator?

You can find the GCD of 718, 300, 57, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.