GCD of 55, 650, 871, 372 Calculator

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

GCD of numbers 55, 650, 871, 372 is 1

GCD(55, 650, 871, 372) = 1

GCD of 55,650,871,372 Calculator

GCDof 55,650,871,372 is 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

Finding GCD of 55, 650, 871, 372 using Prime Factorization

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

Finding GCD of 55, 650, 871, 372 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 55, 650, 871, 372

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.