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 767, 284, 743, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 284, 743, 136 is 1
GCD(767, 284, 743, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 284, 743, 136 is 1
GCD(767, 284, 743, 136) = 1
Given Input numbers are 767, 284, 743, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 767, 284, 743, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 284, 743, 136 is 1.
Therefore, GCD of numbers 767, 284, 743, 136 is 1
Given Input Data is 767, 284, 743, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 743 is 743
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(767, 284) = 217828
GCD(767, 284) = ( 767 x 284 ) / 217828
GCD(767, 284) = 217828 / 217828
GCD(767, 284) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 767, 284, 743, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 284, 743, 136?
GCD of 767, 284, 743, 136 is 1
2. Where do I get the detailed procedure to find GCD of 767, 284, 743, 136?
You can find a detailed procedure to find GCD of 767, 284, 743, 136 on our page.
3. How to find GCD of 767, 284, 743, 136 on a calculator?
You can find the GCD of 767, 284, 743, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.