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 584, 616, 137, 186 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 616, 137, 186 is 1
GCD(584, 616, 137, 186) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 616, 137, 186 is 1
GCD(584, 616, 137, 186) = 1
Given Input numbers are 584, 616, 137, 186
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
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 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 584, 616, 137, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 616, 137, 186 is 1.
Therefore, GCD of numbers 584, 616, 137, 186 is 1
Given Input Data is 584, 616, 137, 186
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 137 is 137
Prime Factorization of 186 is 2 x 3 x 31
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(584, 616) = 44968
GCD(584, 616) = ( 584 x 616 ) / 44968
GCD(584, 616) = 359744 / 44968
GCD(584, 616) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 137) = 1096
GCD(8, 137) = ( 8 x 137 ) / 1096
GCD(8, 137) = 1096 / 1096
GCD(8, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
GCD of 584, 616, 137, 186 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 616, 137, 186?
GCD of 584, 616, 137, 186 is 1
2. Where do I get the detailed procedure to find GCD of 584, 616, 137, 186?
You can find a detailed procedure to find GCD of 584, 616, 137, 186 on our page.
3. How to find GCD of 584, 616, 137, 186 on a calculator?
You can find the GCD of 584, 616, 137, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.