GCD of 654, 252, 752, 673 Calculator

Given Input numbers are 654, 252, 752, 673

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 654, 252, 752, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 252, 752, 673 is 1.

Therefore, GCD of numbers 654, 252, 752, 673 is 1

Given Input Data is 654, 252, 752, 673

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 673 is 673

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(654, 252) = 27468

GCD(654, 252) = ( 654 x 252 ) / 27468

GCD(654, 252) = 164808 / 27468

GCD(654, 252) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 752

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

LCM(6, 752) = 2256

GCD(6, 752) = ( 6 x 752 ) / 2256

GCD(6, 752) = 4512 / 2256

GCD(6, 752) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 673

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

LCM(2, 673) = 1346

GCD(2, 673) = ( 2 x 673 ) / 1346

GCD(2, 673) = 1346 / 1346

GCD(2, 673) = 1

GCD of 654, 252, 752, 673 is 1

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1. What is the GCD of 654, 252, 752, 673?

GCD of 654, 252, 752, 673 is 1

2. Where do I get the detailed procedure to find GCD of 654, 252, 752, 673?

You can find a detailed procedure to find GCD of 654, 252, 752, 673 on our page.

3. How to find GCD of 654, 252, 752, 673 on a calculator?

You can find the GCD of 654, 252, 752, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.