GCD of 754, 924, 781, 628 Calculator

Given Input numbers are 754, 924, 781, 628

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 754, 924, 781, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 924, 781, 628 is 1.

Therefore, GCD of numbers 754, 924, 781, 628 is 1

Given Input Data is 754, 924, 781, 628

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 781 is 11 x 71

Prime Factorization of 628 is 2 x 2 x 157

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(754, 924) = 348348

GCD(754, 924) = ( 754 x 924 ) / 348348

GCD(754, 924) = 696696 / 348348

GCD(754, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 754, 924, 781, 628 is 1

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1. What is the GCD of 754, 924, 781, 628?

GCD of 754, 924, 781, 628 is 1

2. Where do I get the detailed procedure to find GCD of 754, 924, 781, 628?

You can find a detailed procedure to find GCD of 754, 924, 781, 628 on our page.

3. How to find GCD of 754, 924, 781, 628 on a calculator?

You can find the GCD of 754, 924, 781, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.