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 710, 222, 10, 942 i.e. 2 largest integer that divides all the numbers equally.
GCD of 710, 222, 10, 942 is 2
GCD(710, 222, 10, 942) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 222, 10, 942 is 2
GCD(710, 222, 10, 942) = 2
Given Input numbers are 710, 222, 10, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 710, 222, 10, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 222, 10, 942 is 2.
Therefore, GCD of numbers 710, 222, 10, 942 is 2
Given Input Data is 710, 222, 10, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 10 is 2 x 5
Prime Factorization of 942 is 2 x 3 x 157
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(710, 222) = 78810
GCD(710, 222) = ( 710 x 222 ) / 78810
GCD(710, 222) = 157620 / 78810
GCD(710, 222) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
GCD(2, 10) = 20 / 10
GCD(2, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 942) = 942
GCD(2, 942) = ( 2 x 942 ) / 942
GCD(2, 942) = 1884 / 942
GCD(2, 942) = 2
GCD of 710, 222, 10, 942 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 222, 10, 942?
GCD of 710, 222, 10, 942 is 2
2. Where do I get the detailed procedure to find GCD of 710, 222, 10, 942?
You can find a detailed procedure to find GCD of 710, 222, 10, 942 on our page.
3. How to find GCD of 710, 222, 10, 942 on a calculator?
You can find the GCD of 710, 222, 10, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.