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, 253, 37, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 964, 253, 37, 355 is 1
GCD(964, 253, 37, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 253, 37, 355 is 1
GCD(964, 253, 37, 355) = 1
Given Input numbers are 964, 253, 37, 355
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 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 964, 253, 37, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 253, 37, 355 is 1.
Therefore, GCD of numbers 964, 253, 37, 355 is 1
Given Input Data is 964, 253, 37, 355
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 253 is 11 x 23
Prime Factorization of 37 is 37
Prime Factorization of 355 is 5 x 71
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(964, 253) = 243892
GCD(964, 253) = ( 964 x 253 ) / 243892
GCD(964, 253) = 243892 / 243892
GCD(964, 253) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 37) = 37
GCD(1, 37) = ( 1 x 37 ) / 37
GCD(1, 37) = 37 / 37
GCD(1, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 964, 253, 37, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 253, 37, 355?
GCD of 964, 253, 37, 355 is 1
2. Where do I get the detailed procedure to find GCD of 964, 253, 37, 355?
You can find a detailed procedure to find GCD of 964, 253, 37, 355 on our page.
3. How to find GCD of 964, 253, 37, 355 on a calculator?
You can find the GCD of 964, 253, 37, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.