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, 200, 566, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 200, 566, 151 is 1
GCD(137, 200, 566, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 200, 566, 151 is 1
GCD(137, 200, 566, 151) = 1
Given Input numbers are 137, 200, 566, 151
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 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 137, 200, 566, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 200, 566, 151 is 1.
Therefore, GCD of numbers 137, 200, 566, 151 is 1
Given Input Data is 137, 200, 566, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 566 is 2 x 283
Prime Factorization of 151 is 151
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, 200) = 27400
GCD(137, 200) = ( 137 x 200 ) / 27400
GCD(137, 200) = 27400 / 27400
GCD(137, 200) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 137, 200, 566, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 200, 566, 151?
GCD of 137, 200, 566, 151 is 1
2. Where do I get the detailed procedure to find GCD of 137, 200, 566, 151?
You can find a detailed procedure to find GCD of 137, 200, 566, 151 on our page.
3. How to find GCD of 137, 200, 566, 151 on a calculator?
You can find the GCD of 137, 200, 566, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.