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 616, 312, 61, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 312, 61, 935 is 1
GCD(616, 312, 61, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 312, 61, 935 is 1
GCD(616, 312, 61, 935) = 1
Given Input numbers are 616, 312, 61, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 616, 312, 61, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 312, 61, 935 is 1.
Therefore, GCD of numbers 616, 312, 61, 935 is 1
Given Input Data is 616, 312, 61, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 61 is 61
Prime Factorization of 935 is 5 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(616, 312) = 24024
GCD(616, 312) = ( 616 x 312 ) / 24024
GCD(616, 312) = 192192 / 24024
GCD(616, 312) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 61) = 488
GCD(8, 61) = ( 8 x 61 ) / 488
GCD(8, 61) = 488 / 488
GCD(8, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 616, 312, 61, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 312, 61, 935?
GCD of 616, 312, 61, 935 is 1
2. Where do I get the detailed procedure to find GCD of 616, 312, 61, 935?
You can find a detailed procedure to find GCD of 616, 312, 61, 935 on our page.
3. How to find GCD of 616, 312, 61, 935 on a calculator?
You can find the GCD of 616, 312, 61, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.