GCD of 753, 462, 627, 692 Calculator

Given Input numbers are 753, 462, 627, 692

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 753, 462, 627, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 462, 627, 692 is 1.

Therefore, GCD of numbers 753, 462, 627, 692 is 1

Given Input Data is 753, 462, 627, 692

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 692 is 2 x 2 x 173

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(753, 462) = 115962

GCD(753, 462) = ( 753 x 462 ) / 115962

GCD(753, 462) = 347886 / 115962

GCD(753, 462) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 627

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

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

GCD(3, 627) = 1881 / 627

GCD(3, 627) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 692

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

LCM(3, 692) = 2076

GCD(3, 692) = ( 3 x 692 ) / 2076

GCD(3, 692) = 2076 / 2076

GCD(3, 692) = 1

GCD of 753, 462, 627, 692 is 1

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1. What is the GCD of 753, 462, 627, 692?

GCD of 753, 462, 627, 692 is 1

2. Where do I get the detailed procedure to find GCD of 753, 462, 627, 692?

You can find a detailed procedure to find GCD of 753, 462, 627, 692 on our page.

3. How to find GCD of 753, 462, 627, 692 on a calculator?

You can find the GCD of 753, 462, 627, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.