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 860, 713, 53, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 860, 713, 53, 674 is 1
GCD(860, 713, 53, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 860, 713, 53, 674 is 1
GCD(860, 713, 53, 674) = 1
Given Input numbers are 860, 713, 53, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 860, 713, 53, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 713, 53, 674 is 1.
Therefore, GCD of numbers 860, 713, 53, 674 is 1
Given Input Data is 860, 713, 53, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 713 is 23 x 31
Prime Factorization of 53 is 53
Prime Factorization of 674 is 2 x 337
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(860, 713) = 613180
GCD(860, 713) = ( 860 x 713 ) / 613180
GCD(860, 713) = 613180 / 613180
GCD(860, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 860, 713, 53, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 860, 713, 53, 674?
GCD of 860, 713, 53, 674 is 1
2. Where do I get the detailed procedure to find GCD of 860, 713, 53, 674?
You can find a detailed procedure to find GCD of 860, 713, 53, 674 on our page.
3. How to find GCD of 860, 713, 53, 674 on a calculator?
You can find the GCD of 860, 713, 53, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.