GCD of 100, 456, 117 Calculator
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 100, 456, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 100, 456, 117 is 1
GCD(100, 456, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 456, 117 is 1
GCD(100, 456, 117) = 1
GCDof 100,456,117 is 1
Given Input numbers are 100, 456, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 100, 456, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 456, 117 is 1.
Therefore, GCD of numbers 100, 456, 117 is 1
Given Input Data is 100, 456, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 117 is 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 100, 456, 117 using LCM Formula
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(100, 456) = 11400
GCD(100, 456) = ( 100 x 456 ) / 11400
GCD(100, 456) = 45600 / 11400
GCD(100, 456) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 117) = 468
GCD(4, 117) = ( 4 x 117 ) / 468
GCD(4, 117) = 468 / 468
GCD(4, 117) = 1
GCD of 100, 456, 117 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 100, 456, 117
1. What is the GCD of 100, 456, 117?
GCD of 100, 456, 117 is 1
2. Where do I get the detailed procedure to find GCD of 100, 456, 117?
You can find a detailed procedure to find GCD of 100, 456, 117 on our page.
3. How to find GCD of 100, 456, 117 on a calculator?
You can find the GCD of 100, 456, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.