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, 780, 242, 456 i.e. 2 largest integer that divides all the numbers equally.
GCD of 710, 780, 242, 456 is 2
GCD(710, 780, 242, 456) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 780, 242, 456 is 2
GCD(710, 780, 242, 456) = 2
Given Input numbers are 710, 780, 242, 456
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 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
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
Greatest Common Divisior
We found the divisors of 710, 780, 242, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 780, 242, 456 is 2.
Therefore, GCD of numbers 710, 780, 242, 456 is 2
Given Input Data is 710, 780, 242, 456
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 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
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, 780) = 55380
GCD(710, 780) = ( 710 x 780 ) / 55380
GCD(710, 780) = 553800 / 55380
GCD(710, 780) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 242) = 1210
GCD(10, 242) = ( 10 x 242 ) / 1210
GCD(10, 242) = 2420 / 1210
GCD(10, 242) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
GCD(2, 456) = 912 / 456
GCD(2, 456) = 2
GCD of 710, 780, 242, 456 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 780, 242, 456?
GCD of 710, 780, 242, 456 is 2
2. Where do I get the detailed procedure to find GCD of 710, 780, 242, 456?
You can find a detailed procedure to find GCD of 710, 780, 242, 456 on our page.
3. How to find GCD of 710, 780, 242, 456 on a calculator?
You can find the GCD of 710, 780, 242, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.