GCD of 37, 354, 874, 372 Calculator

Given Input numbers are 37, 354, 874, 372

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 37, 354, 874, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 354, 874, 372 is 1.

Therefore, GCD of numbers 37, 354, 874, 372 is 1

Given Input Data is 37, 354, 874, 372

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

Prime Factorization of 37 is 37

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 874 is 2 x 19 x 23

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(37, 354) = 13098

GCD(37, 354) = ( 37 x 354 ) / 13098

GCD(37, 354) = 13098 / 13098

GCD(37, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 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 37, 354, 874, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 458, 357, 908
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• GCD of 45, 684, 609, 972
• GCD of 39, 893, 397, 735
• GCD of 22, 438, 407, 781

1. What is the GCD of 37, 354, 874, 372?

GCD of 37, 354, 874, 372 is 1

2. Where do I get the detailed procedure to find GCD of 37, 354, 874, 372?

You can find a detailed procedure to find GCD of 37, 354, 874, 372 on our page.

3. How to find GCD of 37, 354, 874, 372 on a calculator?

You can find the GCD of 37, 354, 874, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.