GCD of 756, 552, 469, 997 Calculator

Given Input numbers are 756, 552, 469, 997

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 756, 552, 469, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 552, 469, 997 is 1.

Therefore, GCD of numbers 756, 552, 469, 997 is 1

Given Input Data is 756, 552, 469, 997

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 469 is 7 x 67

Prime Factorization of 997 is 997

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(756, 552) = 34776

GCD(756, 552) = ( 756 x 552 ) / 34776

GCD(756, 552) = 417312 / 34776

GCD(756, 552) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 469

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

LCM(12, 469) = 5628

GCD(12, 469) = ( 12 x 469 ) / 5628

GCD(12, 469) = 5628 / 5628

GCD(12, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 756, 552, 469, 997 is 1

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1. What is the GCD of 756, 552, 469, 997?

GCD of 756, 552, 469, 997 is 1

2. Where do I get the detailed procedure to find GCD of 756, 552, 469, 997?

You can find a detailed procedure to find GCD of 756, 552, 469, 997 on our page.

3. How to find GCD of 756, 552, 469, 997 on a calculator?

You can find the GCD of 756, 552, 469, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.