GCD of 875, 728, 745 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 875, 728, 745 i.e. 1 largest integer that divides all the numbers equally.

GCD of 875, 728, 745 is 1

GCD(875, 728, 745) = 1

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

GCD of

GCD of numbers 875, 728, 745 is 1

GCD(875, 728, 745) = 1

GCD of 875,728,745 Calculator

GCDof 875,728,745 is 1

Given Input numbers are 875, 728, 745

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 875, 728, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 728, 745 is 1.

Therefore, GCD of numbers 875, 728, 745 is 1

Finding GCD of 875, 728, 745 using Prime Factorization

Given Input Data is 875, 728, 745

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 745 is 5 x 149

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

Finding GCD of 875, 728, 745 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(875, 728) = 91000

GCD(875, 728) = ( 875 x 728 ) / 91000

GCD(875, 728) = 637000 / 91000

GCD(875, 728) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 745

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

LCM(7, 745) = 5215

GCD(7, 745) = ( 7 x 745 ) / 5215

GCD(7, 745) = 5215 / 5215

GCD(7, 745) = 1

GCD of 875, 728, 745 is 1

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FAQs on GCD of numbers 875, 728, 745

1. What is the GCD of 875, 728, 745?

GCD of 875, 728, 745 is 1

2. Where do I get the detailed procedure to find GCD of 875, 728, 745?

You can find a detailed procedure to find GCD of 875, 728, 745 on our page.

3. How to find GCD of 875, 728, 745 on a calculator?

You can find the GCD of 875, 728, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.