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 680, 286, 125, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 286, 125, 102 is 1
GCD(680, 286, 125, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 286, 125, 102 is 1
GCD(680, 286, 125, 102) = 1
Given Input numbers are 680, 286, 125, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 680, 286, 125, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 286, 125, 102 is 1.
Therefore, GCD of numbers 680, 286, 125, 102 is 1
Given Input Data is 680, 286, 125, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 102 is 2 x 3 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(680, 286) = 97240
GCD(680, 286) = ( 680 x 286 ) / 97240
GCD(680, 286) = 194480 / 97240
GCD(680, 286) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
GCD(2, 125) = 250 / 250
GCD(2, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 680, 286, 125, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 286, 125, 102?
GCD of 680, 286, 125, 102 is 1
2. Where do I get the detailed procedure to find GCD of 680, 286, 125, 102?
You can find a detailed procedure to find GCD of 680, 286, 125, 102 on our page.
3. How to find GCD of 680, 286, 125, 102 on a calculator?
You can find the GCD of 680, 286, 125, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.