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, 676, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 676, 525 is 1
GCD(680, 676, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 676, 525 is 1
GCD(680, 676, 525) = 1
Given Input numbers are 680, 676, 525
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 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 680, 676, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 676, 525 is 1.
Therefore, GCD of numbers 680, 676, 525 is 1
Given Input Data is 680, 676, 525
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 676 is 2 x 2 x 13 x 13
Prime Factorization of 525 is 3 x 5 x 5 x 7
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, 676) = 114920
GCD(680, 676) = ( 680 x 676 ) / 114920
GCD(680, 676) = 459680 / 114920
GCD(680, 676) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 525) = 2100
GCD(4, 525) = ( 4 x 525 ) / 2100
GCD(4, 525) = 2100 / 2100
GCD(4, 525) = 1
GCD of 680, 676, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 676, 525?
GCD of 680, 676, 525 is 1
2. Where do I get the detailed procedure to find GCD of 680, 676, 525?
You can find a detailed procedure to find GCD of 680, 676, 525 on our page.
3. How to find GCD of 680, 676, 525 on a calculator?
You can find the GCD of 680, 676, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.