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 355, 112, 76 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 112, 76 is 1
GCD(355, 112, 76) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 112, 76 is 1
GCD(355, 112, 76) = 1
Given Input numbers are 355, 112, 76
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Greatest Common Divisior
We found the divisors of 355, 112, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 112, 76 is 1.
Therefore, GCD of numbers 355, 112, 76 is 1
Given Input Data is 355, 112, 76
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 76 is 2 x 2 x 19
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(355, 112) = 39760
GCD(355, 112) = ( 355 x 112 ) / 39760
GCD(355, 112) = 39760 / 39760
GCD(355, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
GCD of 355, 112, 76 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 112, 76?
GCD of 355, 112, 76 is 1
2. Where do I get the detailed procedure to find GCD of 355, 112, 76?
You can find a detailed procedure to find GCD of 355, 112, 76 on our page.
3. How to find GCD of 355, 112, 76 on a calculator?
You can find the GCD of 355, 112, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.