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 51, 427, 379, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 427, 379, 552 is 1
GCD(51, 427, 379, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 427, 379, 552 is 1
GCD(51, 427, 379, 552) = 1
Given Input numbers are 51, 427, 379, 552
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 51, 427, 379, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 427, 379, 552 is 1.
Therefore, GCD of numbers 51, 427, 379, 552 is 1
Given Input Data is 51, 427, 379, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 427 is 7 x 61
Prime Factorization of 379 is 379
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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(51, 427) = 21777
GCD(51, 427) = ( 51 x 427 ) / 21777
GCD(51, 427) = 21777 / 21777
GCD(51, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 51, 427, 379, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 427, 379, 552?
GCD of 51, 427, 379, 552 is 1
2. Where do I get the detailed procedure to find GCD of 51, 427, 379, 552?
You can find a detailed procedure to find GCD of 51, 427, 379, 552 on our page.
3. How to find GCD of 51, 427, 379, 552 on a calculator?
You can find the GCD of 51, 427, 379, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.