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, 852, 60, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 852, 60, 545 is 1
GCD(680, 852, 60, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 852, 60, 545 is 1
GCD(680, 852, 60, 545) = 1
Given Input numbers are 680, 852, 60, 545
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 680, 852, 60, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 852, 60, 545 is 1.
Therefore, GCD of numbers 680, 852, 60, 545 is 1
Given Input Data is 680, 852, 60, 545
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 852 is 2 x 2 x 3 x 71
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 545 is 5 x 109
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, 852) = 144840
GCD(680, 852) = ( 680 x 852 ) / 144840
GCD(680, 852) = 579360 / 144840
GCD(680, 852) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 60) = 60
GCD(4, 60) = ( 4 x 60 ) / 60
GCD(4, 60) = 240 / 60
GCD(4, 60) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 545) = 2180
GCD(4, 545) = ( 4 x 545 ) / 2180
GCD(4, 545) = 2180 / 2180
GCD(4, 545) = 1
GCD of 680, 852, 60, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 852, 60, 545?
GCD of 680, 852, 60, 545 is 1
2. Where do I get the detailed procedure to find GCD of 680, 852, 60, 545?
You can find a detailed procedure to find GCD of 680, 852, 60, 545 on our page.
3. How to find GCD of 680, 852, 60, 545 on a calculator?
You can find the GCD of 680, 852, 60, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.