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 64, 722, 664, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 64, 722, 664, 371 is 1
GCD(64, 722, 664, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 722, 664, 371 is 1
GCD(64, 722, 664, 371) = 1
Given Input numbers are 64, 722, 664, 371
To find the GCD of numbers using factoring list out all the divisors of each number
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 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 64, 722, 664, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 722, 664, 371 is 1.
Therefore, GCD of numbers 64, 722, 664, 371 is 1
Given Input Data is 64, 722, 664, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 371 is 7 x 53
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(64, 722) = 23104
GCD(64, 722) = ( 64 x 722 ) / 23104
GCD(64, 722) = 46208 / 23104
GCD(64, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 664) = 664
GCD(2, 664) = ( 2 x 664 ) / 664
GCD(2, 664) = 1328 / 664
GCD(2, 664) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
GCD(2, 371) = 742 / 742
GCD(2, 371) = 1
GCD of 64, 722, 664, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 722, 664, 371?
GCD of 64, 722, 664, 371 is 1
2. Where do I get the detailed procedure to find GCD of 64, 722, 664, 371?
You can find a detailed procedure to find GCD of 64, 722, 664, 371 on our page.
3. How to find GCD of 64, 722, 664, 371 on a calculator?
You can find the GCD of 64, 722, 664, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.