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 60, 795, 476, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 795, 476, 964 is 1
GCD(60, 795, 476, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 795, 476, 964 is 1
GCD(60, 795, 476, 964) = 1
Given Input numbers are 60, 795, 476, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 60, 795, 476, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 795, 476, 964 is 1.
Therefore, GCD of numbers 60, 795, 476, 964 is 1
Given Input Data is 60, 795, 476, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 964 is 2 x 2 x 241
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(60, 795) = 3180
GCD(60, 795) = ( 60 x 795 ) / 3180
GCD(60, 795) = 47700 / 3180
GCD(60, 795) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 476) = 7140
GCD(15, 476) = ( 15 x 476 ) / 7140
GCD(15, 476) = 7140 / 7140
GCD(15, 476) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 60, 795, 476, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 795, 476, 964?
GCD of 60, 795, 476, 964 is 1
2. Where do I get the detailed procedure to find GCD of 60, 795, 476, 964?
You can find a detailed procedure to find GCD of 60, 795, 476, 964 on our page.
3. How to find GCD of 60, 795, 476, 964 on a calculator?
You can find the GCD of 60, 795, 476, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.