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 555, 294, 137, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 294, 137, 992 is 1
GCD(555, 294, 137, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 294, 137, 992 is 1
GCD(555, 294, 137, 992) = 1
Given Input numbers are 555, 294, 137, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Greatest Common Divisior
We found the divisors of 555, 294, 137, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 294, 137, 992 is 1.
Therefore, GCD of numbers 555, 294, 137, 992 is 1
Given Input Data is 555, 294, 137, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 137 is 137
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 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(555, 294) = 54390
GCD(555, 294) = ( 555 x 294 ) / 54390
GCD(555, 294) = 163170 / 54390
GCD(555, 294) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 137) = 411
GCD(3, 137) = ( 3 x 137 ) / 411
GCD(3, 137) = 411 / 411
GCD(3, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
GCD(1, 992) = 992 / 992
GCD(1, 992) = 1
GCD of 555, 294, 137, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 294, 137, 992?
GCD of 555, 294, 137, 992 is 1
2. Where do I get the detailed procedure to find GCD of 555, 294, 137, 992?
You can find a detailed procedure to find GCD of 555, 294, 137, 992 on our page.
3. How to find GCD of 555, 294, 137, 992 on a calculator?
You can find the GCD of 555, 294, 137, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.