GCD of 964, 874, 64, 741 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 964, 874, 64, 741 i.e. 1 largest integer that divides all the numbers equally.

GCD of 964, 874, 64, 741 is 1

GCD(964, 874, 64, 741) = 1

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

GCD of

GCD of numbers 964, 874, 64, 741 is 1

GCD(964, 874, 64, 741) = 1

GCD of 964,874,64,741 Calculator

GCDof 964,874,64,741 is 1

Given Input numbers are 964, 874, 64, 741

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 741

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

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

Greatest Common Divisior

We found the divisors of 964, 874, 64, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 874, 64, 741 is 1.

Therefore, GCD of numbers 964, 874, 64, 741 is 1

Finding GCD of 964, 874, 64, 741 using Prime Factorization

Given Input Data is 964, 874, 64, 741

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 741 is 3 x 13 x 19

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

Finding GCD of 964, 874, 64, 741 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(964, 874) = 421268

GCD(964, 874) = ( 964 x 874 ) / 421268

GCD(964, 874) = 842536 / 421268

GCD(964, 874) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

GCD of 964, 874, 64, 741 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 964, 874, 64, 741

1. What is the GCD of 964, 874, 64, 741?

GCD of 964, 874, 64, 741 is 1


2. Where do I get the detailed procedure to find GCD of 964, 874, 64, 741?

You can find a detailed procedure to find GCD of 964, 874, 64, 741 on our page.


3. How to find GCD of 964, 874, 64, 741 on a calculator?

You can find the GCD of 964, 874, 64, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.