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, 560, 115, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 560, 115, 145 is 1
GCD(616, 560, 115, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 560, 115, 145 is 1
GCD(616, 560, 115, 145) = 1
Given Input numbers are 616, 560, 115, 145
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 616, 560, 115, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 560, 115, 145 is 1.
Therefore, GCD of numbers 616, 560, 115, 145 is 1
Given Input Data is 616, 560, 115, 145
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 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 115 is 5 x 23
Prime Factorization of 145 is 5 x 29
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, 560) = 6160
GCD(616, 560) = ( 616 x 560 ) / 6160
GCD(616, 560) = 344960 / 6160
GCD(616, 560) = 56
Step2:
Here we consider the GCD from the above i.e. 56 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(56, 115) = 6440
GCD(56, 115) = ( 56 x 115 ) / 6440
GCD(56, 115) = 6440 / 6440
GCD(56, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 616, 560, 115, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 560, 115, 145?
GCD of 616, 560, 115, 145 is 1
2. Where do I get the detailed procedure to find GCD of 616, 560, 115, 145?
You can find a detailed procedure to find GCD of 616, 560, 115, 145 on our page.
3. How to find GCD of 616, 560, 115, 145 on a calculator?
You can find the GCD of 616, 560, 115, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.