GCD of 366, 664, 971, 372 Calculator

Given Input numbers are 366, 664, 971, 372

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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 366, 664, 971, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 664, 971, 372 is 1.

Therefore, GCD of numbers 366, 664, 971, 372 is 1

Given Input Data is 366, 664, 971, 372

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 971 is 971

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(366, 664) = 121512

GCD(366, 664) = ( 366 x 664 ) / 121512

GCD(366, 664) = 243024 / 121512

GCD(366, 664) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 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 366, 664, 971, 372 is 1

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1. What is the GCD of 366, 664, 971, 372?

GCD of 366, 664, 971, 372 is 1

2. Where do I get the detailed procedure to find GCD of 366, 664, 971, 372?

You can find a detailed procedure to find GCD of 366, 664, 971, 372 on our page.

3. How to find GCD of 366, 664, 971, 372 on a calculator?

You can find the GCD of 366, 664, 971, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.