GCD of 457, 925, 532, 342 Calculator

Given Input numbers are 457, 925, 532, 342

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 457, 925, 532, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 925, 532, 342 is 1.

Therefore, GCD of numbers 457, 925, 532, 342 is 1

Given Input Data is 457, 925, 532, 342

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

Prime Factorization of 457 is 457

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(457, 925) = 422725

GCD(457, 925) = ( 457 x 925 ) / 422725

GCD(457, 925) = 422725 / 422725

GCD(457, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 457, 925, 532, 342 is 1

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1. What is the GCD of 457, 925, 532, 342?

GCD of 457, 925, 532, 342 is 1

2. Where do I get the detailed procedure to find GCD of 457, 925, 532, 342?

You can find a detailed procedure to find GCD of 457, 925, 532, 342 on our page.

3. How to find GCD of 457, 925, 532, 342 on a calculator?

You can find the GCD of 457, 925, 532, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.