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 626, 272, 51, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 626, 272, 51, 201 is 1
GCD(626, 272, 51, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 626, 272, 51, 201 is 1
GCD(626, 272, 51, 201) = 1
Given Input numbers are 626, 272, 51, 201
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 626, 272, 51, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 272, 51, 201 is 1.
Therefore, GCD of numbers 626, 272, 51, 201 is 1
Given Input Data is 626, 272, 51, 201
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 626 is 2 x 313
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 51 is 3 x 17
Prime Factorization of 201 is 3 x 67
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(626, 272) = 85136
GCD(626, 272) = ( 626 x 272 ) / 85136
GCD(626, 272) = 170272 / 85136
GCD(626, 272) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
GCD of 626, 272, 51, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 626, 272, 51, 201?
GCD of 626, 272, 51, 201 is 1
2. Where do I get the detailed procedure to find GCD of 626, 272, 51, 201?
You can find a detailed procedure to find GCD of 626, 272, 51, 201 on our page.
3. How to find GCD of 626, 272, 51, 201 on a calculator?
You can find the GCD of 626, 272, 51, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.