GCD of 257, 142, 739, 552 Calculator

Given Input numbers are 257, 142, 739, 552

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 142

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

1, 2, 71, 142

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

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

Greatest Common Divisior

We found the divisors of 257, 142, 739, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 142, 739, 552 is 1.

Therefore, GCD of numbers 257, 142, 739, 552 is 1

Given Input Data is 257, 142, 739, 552

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

Prime Factorization of 257 is 257

Prime Factorization of 142 is 2 x 71

Prime Factorization of 739 is 739

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

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(257, 142) = 36494

GCD(257, 142) = ( 257 x 142 ) / 36494

GCD(257, 142) = 36494 / 36494

GCD(257, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 257, 142, 739, 552 is 1

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• GCD of 122, 417, 130, 787
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1. What is the GCD of 257, 142, 739, 552?

GCD of 257, 142, 739, 552 is 1

2. Where do I get the detailed procedure to find GCD of 257, 142, 739, 552?

You can find a detailed procedure to find GCD of 257, 142, 739, 552 on our page.

3. How to find GCD of 257, 142, 739, 552 on a calculator?

You can find the GCD of 257, 142, 739, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.