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, 415, 136, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 415, 136, 958 is 1
GCD(76, 415, 136, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 415, 136, 958 is 1
GCD(76, 415, 136, 958) = 1
Given Input numbers are 76, 415, 136, 958
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 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 76, 415, 136, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 415, 136, 958 is 1.
Therefore, GCD of numbers 76, 415, 136, 958 is 1
Given Input Data is 76, 415, 136, 958
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 415 is 5 x 83
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 958 is 2 x 479
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, 415) = 31540
GCD(76, 415) = ( 76 x 415 ) / 31540
GCD(76, 415) = 31540 / 31540
GCD(76, 415) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 76, 415, 136, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 415, 136, 958?
GCD of 76, 415, 136, 958 is 1
2. Where do I get the detailed procedure to find GCD of 76, 415, 136, 958?
You can find a detailed procedure to find GCD of 76, 415, 136, 958 on our page.
3. How to find GCD of 76, 415, 136, 958 on a calculator?
You can find the GCD of 76, 415, 136, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.