GCD of 552, 142, 767, 916 Calculator

Given Input numbers are 552, 142, 767, 916

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 916

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

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 552, 142, 767, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 142, 767, 916 is 1.

Therefore, GCD of numbers 552, 142, 767, 916 is 1

Given Input Data is 552, 142, 767, 916

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 142 is 2 x 71

Prime Factorization of 767 is 13 x 59

Prime Factorization of 916 is 2 x 2 x 229

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, 142) = 39192

GCD(552, 142) = ( 552 x 142 ) / 39192

GCD(552, 142) = 78384 / 39192

GCD(552, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 767

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

LCM(2, 767) = 1534

GCD(2, 767) = ( 2 x 767 ) / 1534

GCD(2, 767) = 1534 / 1534

GCD(2, 767) = 1

Step3:

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

GCD of 552, 142, 767, 916 is 1

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1. What is the GCD of 552, 142, 767, 916?

GCD of 552, 142, 767, 916 is 1

2. Where do I get the detailed procedure to find GCD of 552, 142, 767, 916?

You can find a detailed procedure to find GCD of 552, 142, 767, 916 on our page.

3. How to find GCD of 552, 142, 767, 916 on a calculator?

You can find the GCD of 552, 142, 767, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.