GCD of 451, 942, 738, 312 Calculator

Given Input numbers are 451, 942, 738, 312

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

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 451, 942, 738, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 942, 738, 312 is 1.

Therefore, GCD of numbers 451, 942, 738, 312 is 1

Given Input Data is 451, 942, 738, 312

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

Prime Factorization of 451 is 11 x 41

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(451, 942) = 424842

GCD(451, 942) = ( 451 x 942 ) / 424842

GCD(451, 942) = 424842 / 424842

GCD(451, 942) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 451, 942, 738, 312 is 1

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1. What is the GCD of 451, 942, 738, 312?

GCD of 451, 942, 738, 312 is 1

2. Where do I get the detailed procedure to find GCD of 451, 942, 738, 312?

You can find a detailed procedure to find GCD of 451, 942, 738, 312 on our page.

3. How to find GCD of 451, 942, 738, 312 on a calculator?

You can find the GCD of 451, 942, 738, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.