GCD of 845, 715, 624 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 845, 715, 624 i.e. 13 largest integer that divides all the numbers equally.

GCD of 845, 715, 624 is 13

GCD(845, 715, 624) = 13

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 845, 715, 624 is 13

GCD(845, 715, 624) = 13

GCD of 845,715,624 Calculator

GCDof 845,715,624 is 13

Given Input numbers are 845, 715, 624

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 845, 715, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 715, 624 is 13.

Therefore, GCD of numbers 845, 715, 624 is 13

Finding GCD of 845, 715, 624 using Prime Factorization

Given Input Data is 845, 715, 624

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 131

Multiplying them we get the GCD as 13

Finding GCD of 845, 715, 624 using LCM Formula

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(845, 715) = 9295

GCD(845, 715) = ( 845 x 715 ) / 9295

GCD(845, 715) = 604175 / 9295

GCD(845, 715) = 65

Step2:

Here we consider the GCD from the above i.e. 65 as first number and the next as 624

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

LCM(65, 624) = 3120

GCD(65, 624) = ( 65 x 624 ) / 3120

GCD(65, 624) = 40560 / 3120

GCD(65, 624) = 13

GCD of 845, 715, 624 is 13

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FAQs on GCD of numbers 845, 715, 624

1. What is the GCD of 845, 715, 624?

GCD of 845, 715, 624 is 13

2. Where do I get the detailed procedure to find GCD of 845, 715, 624?

You can find a detailed procedure to find GCD of 845, 715, 624 on our page.

3. How to find GCD of 845, 715, 624 on a calculator?

You can find the GCD of 845, 715, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.