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 625, 420, 660, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 420, 660, 859 is 1
GCD(625, 420, 660, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 420, 660, 859 is 1
GCD(625, 420, 660, 859) = 1
Given Input numbers are 625, 420, 660, 859
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 625, 420, 660, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 420, 660, 859 is 1.
Therefore, GCD of numbers 625, 420, 660, 859 is 1
Given Input Data is 625, 420, 660, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 859 is 859
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(625, 420) = 52500
GCD(625, 420) = ( 625 x 420 ) / 52500
GCD(625, 420) = 262500 / 52500
GCD(625, 420) = 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 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 859) = 4295
GCD(5, 859) = ( 5 x 859 ) / 4295
GCD(5, 859) = 4295 / 4295
GCD(5, 859) = 1
GCD of 625, 420, 660, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 420, 660, 859?
GCD of 625, 420, 660, 859 is 1
2. Where do I get the detailed procedure to find GCD of 625, 420, 660, 859?
You can find a detailed procedure to find GCD of 625, 420, 660, 859 on our page.
3. How to find GCD of 625, 420, 660, 859 on a calculator?
You can find the GCD of 625, 420, 660, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.