GCD of 57, 471, 975, 501 Calculator

Given Input numbers are 57, 471, 975, 501

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

Divisors of 57

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

1, 3, 19, 57

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 57, 471, 975, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 471, 975, 501 is 3.

Therefore, GCD of numbers 57, 471, 975, 501 is 3

Given Input Data is 57, 471, 975, 501

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 471 is 3 x 157

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 501 is 3 x 167

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(57, 471) = 8949

GCD(57, 471) = ( 57 x 471 ) / 8949

GCD(57, 471) = 26847 / 8949

GCD(57, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 975

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

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

GCD(3, 975) = 2925 / 975

GCD(3, 975) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

GCD of 57, 471, 975, 501 is 3

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1. What is the GCD of 57, 471, 975, 501?

GCD of 57, 471, 975, 501 is 3

2. Where do I get the detailed procedure to find GCD of 57, 471, 975, 501?

You can find a detailed procedure to find GCD of 57, 471, 975, 501 on our page.

3. How to find GCD of 57, 471, 975, 501 on a calculator?

You can find the GCD of 57, 471, 975, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.