GCD of 458, 575, 57, 840 Calculator

Given Input numbers are 458, 575, 57, 840

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 458, 575, 57, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 575, 57, 840 is 1.

Therefore, GCD of numbers 458, 575, 57, 840 is 1

Given Input Data is 458, 575, 57, 840

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 57 is 3 x 19

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(458, 575) = 263350

GCD(458, 575) = ( 458 x 575 ) / 263350

GCD(458, 575) = 263350 / 263350

GCD(458, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 458, 575, 57, 840 is 1

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• GCD of 388, 355, 69, 578
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• GCD of 487, 424, 51, 810

1. What is the GCD of 458, 575, 57, 840?

GCD of 458, 575, 57, 840 is 1

2. Where do I get the detailed procedure to find GCD of 458, 575, 57, 840?

You can find a detailed procedure to find GCD of 458, 575, 57, 840 on our page.

3. How to find GCD of 458, 575, 57, 840 on a calculator?

You can find the GCD of 458, 575, 57, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.