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 137, 153, 153, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 153, 153, 588 is 1
GCD(137, 153, 153, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 153, 153, 588 is 1
GCD(137, 153, 153, 588) = 1
Given Input numbers are 137, 153, 153, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 137, 153, 153, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 153, 153, 588 is 1.
Therefore, GCD of numbers 137, 153, 153, 588 is 1
Given Input Data is 137, 153, 153, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(137, 153) = 20961
GCD(137, 153) = ( 137 x 153 ) / 20961
GCD(137, 153) = 20961 / 20961
GCD(137, 153) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 137, 153, 153, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 153, 153, 588?
GCD of 137, 153, 153, 588 is 1
2. Where do I get the detailed procedure to find GCD of 137, 153, 153, 588?
You can find a detailed procedure to find GCD of 137, 153, 153, 588 on our page.
3. How to find GCD of 137, 153, 153, 588 on a calculator?
You can find the GCD of 137, 153, 153, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.