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 942, 962, 110 i.e. 2 largest integer that divides all the numbers equally.
GCD of 942, 962, 110 is 2
GCD(942, 962, 110) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 962, 110 is 2
GCD(942, 962, 110) = 2
Given Input numbers are 942, 962, 110
To find the GCD of numbers using factoring list out all the divisors of each number
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 942, 962, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 962, 110 is 2.
Therefore, GCD of numbers 942, 962, 110 is 2
Given Input Data is 942, 962, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 110 is 2 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(942, 962) = 453102
GCD(942, 962) = ( 942 x 962 ) / 453102
GCD(942, 962) = 906204 / 453102
GCD(942, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 110) = 110
GCD(2, 110) = ( 2 x 110 ) / 110
GCD(2, 110) = 220 / 110
GCD(2, 110) = 2
GCD of 942, 962, 110 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 962, 110?
GCD of 942, 962, 110 is 2
2. Where do I get the detailed procedure to find GCD of 942, 962, 110?
You can find a detailed procedure to find GCD of 942, 962, 110 on our page.
3. How to find GCD of 942, 962, 110 on a calculator?
You can find the GCD of 942, 962, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.