GCD of 376, 614, 77, 875 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 376, 614, 77, 875 i.e. 1 largest integer that divides all the numbers equally.

GCD of 376, 614, 77, 875 is 1

GCD(376, 614, 77, 875) = 1

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

GCD of

GCD of numbers 376, 614, 77, 875 is 1

GCD(376, 614, 77, 875) = 1

GCD of 376,614,77,875 Calculator

GCDof 376,614,77,875 is 1

Given Input numbers are 376, 614, 77, 875

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 875

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

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

Greatest Common Divisior

We found the divisors of 376, 614, 77, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 614, 77, 875 is 1.

Therefore, GCD of numbers 376, 614, 77, 875 is 1

Finding GCD of 376, 614, 77, 875 using Prime Factorization

Given Input Data is 376, 614, 77, 875

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 614 is 2 x 307

Prime Factorization of 77 is 7 x 11

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

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

Finding GCD of 376, 614, 77, 875 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(376, 614) = 115432

GCD(376, 614) = ( 376 x 614 ) / 115432

GCD(376, 614) = 230864 / 115432

GCD(376, 614) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 376, 614, 77, 875 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 376, 614, 77, 875

1. What is the GCD of 376, 614, 77, 875?

GCD of 376, 614, 77, 875 is 1


2. Where do I get the detailed procedure to find GCD of 376, 614, 77, 875?

You can find a detailed procedure to find GCD of 376, 614, 77, 875 on our page.


3. How to find GCD of 376, 614, 77, 875 on a calculator?

You can find the GCD of 376, 614, 77, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.