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 462, 979, 57, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 979, 57, 661 is 1
GCD(462, 979, 57, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 979, 57, 661 is 1
GCD(462, 979, 57, 661) = 1
Given Input numbers are 462, 979, 57, 661
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 462, 979, 57, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 979, 57, 661 is 1.
Therefore, GCD of numbers 462, 979, 57, 661 is 1
Given Input Data is 462, 979, 57, 661
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 979 is 11 x 89
Prime Factorization of 57 is 3 x 19
Prime Factorization of 661 is 661
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(462, 979) = 41118
GCD(462, 979) = ( 462 x 979 ) / 41118
GCD(462, 979) = 452298 / 41118
GCD(462, 979) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 57) = 627
GCD(11, 57) = ( 11 x 57 ) / 627
GCD(11, 57) = 627 / 627
GCD(11, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
GCD of 462, 979, 57, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 979, 57, 661?
GCD of 462, 979, 57, 661 is 1
2. Where do I get the detailed procedure to find GCD of 462, 979, 57, 661?
You can find a detailed procedure to find GCD of 462, 979, 57, 661 on our page.
3. How to find GCD of 462, 979, 57, 661 on a calculator?
You can find the GCD of 462, 979, 57, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.