GCD of 35, 741, 976, 864 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 35, 741, 976, 864 i.e. 1 largest integer that divides all the numbers equally.

GCD of 35, 741, 976, 864 is 1

GCD(35, 741, 976, 864) = 1

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

GCD of

GCD of numbers 35, 741, 976, 864 is 1

GCD(35, 741, 976, 864) = 1

GCD of 35,741,976,864 Calculator

GCDof 35,741,976,864 is 1

Given Input numbers are 35, 741, 976, 864

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 35, 741, 976, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 741, 976, 864 is 1.

Therefore, GCD of numbers 35, 741, 976, 864 is 1

Finding GCD of 35, 741, 976, 864 using Prime Factorization

Given Input Data is 35, 741, 976, 864

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Finding GCD of 35, 741, 976, 864 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(35, 741) = 25935

GCD(35, 741) = ( 35 x 741 ) / 25935

GCD(35, 741) = 25935 / 25935

GCD(35, 741) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 35, 741, 976, 864 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 35, 741, 976, 864

1. What is the GCD of 35, 741, 976, 864?

GCD of 35, 741, 976, 864 is 1


2. Where do I get the detailed procedure to find GCD of 35, 741, 976, 864?

You can find a detailed procedure to find GCD of 35, 741, 976, 864 on our page.


3. How to find GCD of 35, 741, 976, 864 on a calculator?

You can find the GCD of 35, 741, 976, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.