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 637, 262, 33, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 262, 33, 514 is 1
GCD(637, 262, 33, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 262, 33, 514 is 1
GCD(637, 262, 33, 514) = 1
Given Input numbers are 637, 262, 33, 514
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 637, 262, 33, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 262, 33, 514 is 1.
Therefore, GCD of numbers 637, 262, 33, 514 is 1
Given Input Data is 637, 262, 33, 514
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 262 is 2 x 131
Prime Factorization of 33 is 3 x 11
Prime Factorization of 514 is 2 x 257
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(637, 262) = 166894
GCD(637, 262) = ( 637 x 262 ) / 166894
GCD(637, 262) = 166894 / 166894
GCD(637, 262) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
GCD of 637, 262, 33, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 262, 33, 514?
GCD of 637, 262, 33, 514 is 1
2. Where do I get the detailed procedure to find GCD of 637, 262, 33, 514?
You can find a detailed procedure to find GCD of 637, 262, 33, 514 on our page.
3. How to find GCD of 637, 262, 33, 514 on a calculator?
You can find the GCD of 637, 262, 33, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.