GCD of 744, 274, 948, 371 Calculator

Given Input numbers are 744, 274, 948, 371

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 744, 274, 948, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 274, 948, 371 is 1.

Therefore, GCD of numbers 744, 274, 948, 371 is 1

Given Input Data is 744, 274, 948, 371

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 274 is 2 x 137

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 371 is 7 x 53

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(744, 274) = 101928

GCD(744, 274) = ( 744 x 274 ) / 101928

GCD(744, 274) = 203856 / 101928

GCD(744, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 948

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

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

GCD(2, 948) = 1896 / 948

GCD(2, 948) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

GCD of 744, 274, 948, 371 is 1

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1. What is the GCD of 744, 274, 948, 371?

GCD of 744, 274, 948, 371 is 1

2. Where do I get the detailed procedure to find GCD of 744, 274, 948, 371?

You can find a detailed procedure to find GCD of 744, 274, 948, 371 on our page.

3. How to find GCD of 744, 274, 948, 371 on a calculator?

You can find the GCD of 744, 274, 948, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.