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 63, 628, 354, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 628, 354, 279 is 1
GCD(63, 628, 354, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 628, 354, 279 is 1
GCD(63, 628, 354, 279) = 1
Given Input numbers are 63, 628, 354, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 63, 628, 354, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 628, 354, 279 is 1.
Therefore, GCD of numbers 63, 628, 354, 279 is 1
Given Input Data is 63, 628, 354, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 279 is 3 x 3 x 31
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(63, 628) = 39564
GCD(63, 628) = ( 63 x 628 ) / 39564
GCD(63, 628) = 39564 / 39564
GCD(63, 628) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 63, 628, 354, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 628, 354, 279?
GCD of 63, 628, 354, 279 is 1
2. Where do I get the detailed procedure to find GCD of 63, 628, 354, 279?
You can find a detailed procedure to find GCD of 63, 628, 354, 279 on our page.
3. How to find GCD of 63, 628, 354, 279 on a calculator?
You can find the GCD of 63, 628, 354, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.