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 747, 957, 85, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 957, 85, 686 is 1
GCD(747, 957, 85, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 957, 85, 686 is 1
GCD(747, 957, 85, 686) = 1
Given Input numbers are 747, 957, 85, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 747, 957, 85, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 957, 85, 686 is 1.
Therefore, GCD of numbers 747, 957, 85, 686 is 1
Given Input Data is 747, 957, 85, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 85 is 5 x 17
Prime Factorization of 686 is 2 x 7 x 7 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(747, 957) = 238293
GCD(747, 957) = ( 747 x 957 ) / 238293
GCD(747, 957) = 714879 / 238293
GCD(747, 957) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 85) = 255
GCD(3, 85) = ( 3 x 85 ) / 255
GCD(3, 85) = 255 / 255
GCD(3, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
GCD(1, 686) = 686 / 686
GCD(1, 686) = 1
GCD of 747, 957, 85, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 957, 85, 686?
GCD of 747, 957, 85, 686 is 1
2. Where do I get the detailed procedure to find GCD of 747, 957, 85, 686?
You can find a detailed procedure to find GCD of 747, 957, 85, 686 on our page.
3. How to find GCD of 747, 957, 85, 686 on a calculator?
You can find the GCD of 747, 957, 85, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.