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 55, 648, 278, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 648, 278, 997 is 1
GCD(55, 648, 278, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 648, 278, 997 is 1
GCD(55, 648, 278, 997) = 1
Given Input numbers are 55, 648, 278, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 55, 648, 278, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 648, 278, 997 is 1.
Therefore, GCD of numbers 55, 648, 278, 997 is 1
Given Input Data is 55, 648, 278, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 278 is 2 x 139
Prime Factorization of 997 is 997
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(55, 648) = 35640
GCD(55, 648) = ( 55 x 648 ) / 35640
GCD(55, 648) = 35640 / 35640
GCD(55, 648) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 55, 648, 278, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 648, 278, 997?
GCD of 55, 648, 278, 997 is 1
2. Where do I get the detailed procedure to find GCD of 55, 648, 278, 997?
You can find a detailed procedure to find GCD of 55, 648, 278, 997 on our page.
3. How to find GCD of 55, 648, 278, 997 on a calculator?
You can find the GCD of 55, 648, 278, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.