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 76, 968, 347, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 968, 347, 767 is 1
GCD(76, 968, 347, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 968, 347, 767 is 1
GCD(76, 968, 347, 767) = 1
Given Input numbers are 76, 968, 347, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 76, 968, 347, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 968, 347, 767 is 1.
Therefore, GCD of numbers 76, 968, 347, 767 is 1
Given Input Data is 76, 968, 347, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 347 is 347
Prime Factorization of 767 is 13 x 59
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(76, 968) = 18392
GCD(76, 968) = ( 76 x 968 ) / 18392
GCD(76, 968) = 73568 / 18392
GCD(76, 968) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 347) = 1388
GCD(4, 347) = ( 4 x 347 ) / 1388
GCD(4, 347) = 1388 / 1388
GCD(4, 347) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 76, 968, 347, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 968, 347, 767?
GCD of 76, 968, 347, 767 is 1
2. Where do I get the detailed procedure to find GCD of 76, 968, 347, 767?
You can find a detailed procedure to find GCD of 76, 968, 347, 767 on our page.
3. How to find GCD of 76, 968, 347, 767 on a calculator?
You can find the GCD of 76, 968, 347, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.