GCD of 113, 942, 45 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 113, 942, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 942, 45 is 1
GCD(113, 942, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 942, 45 is 1
GCD(113, 942, 45) = 1
GCDof 113,942,45 is 1
Given Input numbers are 113, 942, 45
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 113, 942, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 942, 45 is 1.
Therefore, GCD of numbers 113, 942, 45 is 1
Given Input Data is 113, 942, 45
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 45 is 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 113, 942, 45 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(113, 942) = 106446
GCD(113, 942) = ( 113 x 942 ) / 106446
GCD(113, 942) = 106446 / 106446
GCD(113, 942) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
GCD of 113, 942, 45 is 1
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FAQs on GCD of numbers 113, 942, 45
1. What is the GCD of 113, 942, 45?
GCD of 113, 942, 45 is 1
2. Where do I get the detailed procedure to find GCD of 113, 942, 45?
You can find a detailed procedure to find GCD of 113, 942, 45 on our page.
3. How to find GCD of 113, 942, 45 on a calculator?
You can find the GCD of 113, 942, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.