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, 904, 60, 940 i.e. 2 largest integer that divides all the numbers equally.
GCD of 710, 904, 60, 940 is 2
GCD(710, 904, 60, 940) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 904, 60, 940 is 2
GCD(710, 904, 60, 940) = 2
Given Input numbers are 710, 904, 60, 940
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 710, 904, 60, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 904, 60, 940 is 2.
Therefore, GCD of numbers 710, 904, 60, 940 is 2
Given Input Data is 710, 904, 60, 940
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 904 is 2 x 2 x 2 x 113
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 940 is 2 x 2 x 5 x 47
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, 904) = 320920
GCD(710, 904) = ( 710 x 904 ) / 320920
GCD(710, 904) = 641840 / 320920
GCD(710, 904) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
GCD(2, 940) = 1880 / 940
GCD(2, 940) = 2
GCD of 710, 904, 60, 940 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 904, 60, 940?
GCD of 710, 904, 60, 940 is 2
2. Where do I get the detailed procedure to find GCD of 710, 904, 60, 940?
You can find a detailed procedure to find GCD of 710, 904, 60, 940 on our page.
3. How to find GCD of 710, 904, 60, 940 on a calculator?
You can find the GCD of 710, 904, 60, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.