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 513, 266, 22, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 266, 22, 157 is 1
GCD(513, 266, 22, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 266, 22, 157 is 1
GCD(513, 266, 22, 157) = 1
Given Input numbers are 513, 266, 22, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 513, 266, 22, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 266, 22, 157 is 1.
Therefore, GCD of numbers 513, 266, 22, 157 is 1
Given Input Data is 513, 266, 22, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 22 is 2 x 11
Prime Factorization of 157 is 157
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(513, 266) = 7182
GCD(513, 266) = ( 513 x 266 ) / 7182
GCD(513, 266) = 136458 / 7182
GCD(513, 266) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 22) = 418
GCD(19, 22) = ( 19 x 22 ) / 418
GCD(19, 22) = 418 / 418
GCD(19, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 513, 266, 22, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 266, 22, 157?
GCD of 513, 266, 22, 157 is 1
2. Where do I get the detailed procedure to find GCD of 513, 266, 22, 157?
You can find a detailed procedure to find GCD of 513, 266, 22, 157 on our page.
3. How to find GCD of 513, 266, 22, 157 on a calculator?
You can find the GCD of 513, 266, 22, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.