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, 289, 528, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 289, 528, 472 is 1
GCD(137, 289, 528, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 289, 528, 472 is 1
GCD(137, 289, 528, 472) = 1
Given Input numbers are 137, 289, 528, 472
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 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 137, 289, 528, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 289, 528, 472 is 1.
Therefore, GCD of numbers 137, 289, 528, 472 is 1
Given Input Data is 137, 289, 528, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 289 is 17 x 17
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 472 is 2 x 2 x 2 x 59
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, 289) = 39593
GCD(137, 289) = ( 137 x 289 ) / 39593
GCD(137, 289) = 39593 / 39593
GCD(137, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 137, 289, 528, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 289, 528, 472?
GCD of 137, 289, 528, 472 is 1
2. Where do I get the detailed procedure to find GCD of 137, 289, 528, 472?
You can find a detailed procedure to find GCD of 137, 289, 528, 472 on our page.
3. How to find GCD of 137, 289, 528, 472 on a calculator?
You can find the GCD of 137, 289, 528, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.