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 numbers 753, 704, 64, 760 is 1
GCD(753, 704, 64, 760) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.