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 62, 308, 110, 712 i.e. 2 largest integer that divides all the numbers equally.
GCD of 62, 308, 110, 712 is 2
GCD(62, 308, 110, 712) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 308, 110, 712 is 2
GCD(62, 308, 110, 712) = 2
Given Input numbers are 62, 308, 110, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 62, 308, 110, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 308, 110, 712 is 2.
Therefore, GCD of numbers 62, 308, 110, 712 is 2
Given Input Data is 62, 308, 110, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(62, 308) = 9548
GCD(62, 308) = ( 62 x 308 ) / 9548
GCD(62, 308) = 19096 / 9548
GCD(62, 308) = 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
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
GCD(2, 712) = 1424 / 712
GCD(2, 712) = 2
GCD of 62, 308, 110, 712 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 308, 110, 712?
GCD of 62, 308, 110, 712 is 2
2. Where do I get the detailed procedure to find GCD of 62, 308, 110, 712?
You can find a detailed procedure to find GCD of 62, 308, 110, 712 on our page.
3. How to find GCD of 62, 308, 110, 712 on a calculator?
You can find the GCD of 62, 308, 110, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.