GCD of 753, 704, 64, 760 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 753, 704, 64, 760 i.e. 1 largest integer that divides all the numbers equally.

GCD of 753, 704, 64, 760 is 1

GCD(753, 704, 64, 760) = 1

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

GCD of

GCD of numbers 753, 704, 64, 760 is 1

GCD(753, 704, 64, 760) = 1

GCD of 753,704,64,760 Calculator

GCDof 753,704,64,760 is 1

Given Input numbers are 753, 704, 64, 760

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 753, 704, 64, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 704, 64, 760 is 1.

Therefore, GCD of numbers 753, 704, 64, 760 is 1

Finding GCD of 753, 704, 64, 760 using Prime Factorization

Given Input Data is 753, 704, 64, 760

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Finding GCD of 753, 704, 64, 760 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(753, 704) = 530112

GCD(753, 704) = ( 753 x 704 ) / 530112

GCD(753, 704) = 530112 / 530112

GCD(753, 704) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 753, 704, 64, 760 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 753, 704, 64, 760

1. What is the GCD of 753, 704, 64, 760?

GCD of 753, 704, 64, 760 is 1


2. Where do I get the detailed procedure to find GCD of 753, 704, 64, 760?

You can find a detailed procedure to find GCD of 753, 704, 64, 760 on our page.


3. How to find GCD of 753, 704, 64, 760 on a calculator?

You can find the GCD of 753, 704, 64, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.