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 125, 315, 660, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 315, 660, 442 is 1
GCD(125, 315, 660, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 315, 660, 442 is 1
GCD(125, 315, 660, 442) = 1
Given Input numbers are 125, 315, 660, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 125, 315, 660, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 315, 660, 442 is 1.
Therefore, GCD of numbers 125, 315, 660, 442 is 1
Given Input Data is 125, 315, 660, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 442 is 2 x 13 x 17
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(125, 315) = 7875
GCD(125, 315) = ( 125 x 315 ) / 7875
GCD(125, 315) = 39375 / 7875
GCD(125, 315) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 660) = 660
GCD(5, 660) = ( 5 x 660 ) / 660
GCD(5, 660) = 3300 / 660
GCD(5, 660) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 442) = 2210
GCD(5, 442) = ( 5 x 442 ) / 2210
GCD(5, 442) = 2210 / 2210
GCD(5, 442) = 1
GCD of 125, 315, 660, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 315, 660, 442?
GCD of 125, 315, 660, 442 is 1
2. Where do I get the detailed procedure to find GCD of 125, 315, 660, 442?
You can find a detailed procedure to find GCD of 125, 315, 660, 442 on our page.
3. How to find GCD of 125, 315, 660, 442 on a calculator?
You can find the GCD of 125, 315, 660, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.