GCD of 552, 896, 971, 143 Calculator

Given Input numbers are 552, 896, 971, 143

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 552, 896, 971, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 896, 971, 143 is 1.

Therefore, GCD of numbers 552, 896, 971, 143 is 1

Given Input Data is 552, 896, 971, 143

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 971 is 971

Prime Factorization of 143 is 11 x 13

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, 896) = 61824

GCD(552, 896) = ( 552 x 896 ) / 61824

GCD(552, 896) = 494592 / 61824

GCD(552, 896) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 971

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

LCM(8, 971) = 7768

GCD(8, 971) = ( 8 x 971 ) / 7768

GCD(8, 971) = 7768 / 7768

GCD(8, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 552, 896, 971, 143 is 1

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1. What is the GCD of 552, 896, 971, 143?

GCD of 552, 896, 971, 143 is 1

2. Where do I get the detailed procedure to find GCD of 552, 896, 971, 143?

You can find a detailed procedure to find GCD of 552, 896, 971, 143 on our page.

3. How to find GCD of 552, 896, 971, 143 on a calculator?

You can find the GCD of 552, 896, 971, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.