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, 650, 871, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 650, 871, 372 is 1
GCD(55, 650, 871, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 650, 871, 372 is 1
GCD(55, 650, 871, 372) = 1
Given Input numbers are 55, 650, 871, 372
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 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 55, 650, 871, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 650, 871, 372 is 1.
Therefore, GCD of numbers 55, 650, 871, 372 is 1
Given Input Data is 55, 650, 871, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 871 is 13 x 67
Prime Factorization of 372 is 2 x 2 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(55, 650) = 7150
GCD(55, 650) = ( 55 x 650 ) / 7150
GCD(55, 650) = 35750 / 7150
GCD(55, 650) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 871) = 4355
GCD(5, 871) = ( 5 x 871 ) / 4355
GCD(5, 871) = 4355 / 4355
GCD(5, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 55, 650, 871, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 650, 871, 372?
GCD of 55, 650, 871, 372 is 1
2. Where do I get the detailed procedure to find GCD of 55, 650, 871, 372?
You can find a detailed procedure to find GCD of 55, 650, 871, 372 on our page.
3. How to find GCD of 55, 650, 871, 372 on a calculator?
You can find the GCD of 55, 650, 871, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.