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 553, 628, 51, 639 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 628, 51, 639 is 1
GCD(553, 628, 51, 639) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 628, 51, 639 is 1
GCD(553, 628, 51, 639) = 1
Given Input numbers are 553, 628, 51, 639
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Greatest Common Divisior
We found the divisors of 553, 628, 51, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 628, 51, 639 is 1.
Therefore, GCD of numbers 553, 628, 51, 639 is 1
Given Input Data is 553, 628, 51, 639
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 51 is 3 x 17
Prime Factorization of 639 is 3 x 3 x 71
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(553, 628) = 347284
GCD(553, 628) = ( 553 x 628 ) / 347284
GCD(553, 628) = 347284 / 347284
GCD(553, 628) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 639
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 639) = 639
GCD(1, 639) = ( 1 x 639 ) / 639
GCD(1, 639) = 639 / 639
GCD(1, 639) = 1
GCD of 553, 628, 51, 639 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 628, 51, 639?
GCD of 553, 628, 51, 639 is 1
2. Where do I get the detailed procedure to find GCD of 553, 628, 51, 639?
You can find a detailed procedure to find GCD of 553, 628, 51, 639 on our page.
3. How to find GCD of 553, 628, 51, 639 on a calculator?
You can find the GCD of 553, 628, 51, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.