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, 894, 572, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 894, 572, 987 is 1
GCD(55, 894, 572, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 894, 572, 987 is 1
GCD(55, 894, 572, 987) = 1
Given Input numbers are 55, 894, 572, 987
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 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 55, 894, 572, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 894, 572, 987 is 1.
Therefore, GCD of numbers 55, 894, 572, 987 is 1
Given Input Data is 55, 894, 572, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 987 is 3 x 7 x 47
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, 894) = 49170
GCD(55, 894) = ( 55 x 894 ) / 49170
GCD(55, 894) = 49170 / 49170
GCD(55, 894) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 55, 894, 572, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 894, 572, 987?
GCD of 55, 894, 572, 987 is 1
2. Where do I get the detailed procedure to find GCD of 55, 894, 572, 987?
You can find a detailed procedure to find GCD of 55, 894, 572, 987 on our page.
3. How to find GCD of 55, 894, 572, 987 on a calculator?
You can find the GCD of 55, 894, 572, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.