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, 316, 743, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 860, 316, 743, 739 is 1
GCD(860, 316, 743, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 860, 316, 743, 739 is 1
GCD(860, 316, 743, 739) = 1
Given Input numbers are 860, 316, 743, 739
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 860, 316, 743, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 316, 743, 739 is 1.
Therefore, GCD of numbers 860, 316, 743, 739 is 1
Given Input Data is 860, 316, 743, 739
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 316 is 2 x 2 x 79
Prime Factorization of 743 is 743
Prime Factorization of 739 is 739
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, 316) = 67940
GCD(860, 316) = ( 860 x 316 ) / 67940
GCD(860, 316) = 271760 / 67940
GCD(860, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 743) = 2972
GCD(4, 743) = ( 4 x 743 ) / 2972
GCD(4, 743) = 2972 / 2972
GCD(4, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
GCD of 860, 316, 743, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 860, 316, 743, 739?
GCD of 860, 316, 743, 739 is 1
2. Where do I get the detailed procedure to find GCD of 860, 316, 743, 739?
You can find a detailed procedure to find GCD of 860, 316, 743, 739 on our page.
3. How to find GCD of 860, 316, 743, 739 on a calculator?
You can find the GCD of 860, 316, 743, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.