GCD of 552, 469, 916, 340 Calculator

Given Input numbers are 552, 469, 916, 340

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

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 552, 469, 916, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 469, 916, 340 is 1.

Therefore, GCD of numbers 552, 469, 916, 340 is 1

Given Input Data is 552, 469, 916, 340

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

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 916 is 2 x 2 x 229

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(552, 469) = 258888

GCD(552, 469) = ( 552 x 469 ) / 258888

GCD(552, 469) = 258888 / 258888

GCD(552, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 552, 469, 916, 340 is 1

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1. What is the GCD of 552, 469, 916, 340?

GCD of 552, 469, 916, 340 is 1

2. Where do I get the detailed procedure to find GCD of 552, 469, 916, 340?

You can find a detailed procedure to find GCD of 552, 469, 916, 340 on our page.

3. How to find GCD of 552, 469, 916, 340 on a calculator?

You can find the GCD of 552, 469, 916, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.