GCD of 501, 874, 66, 352 Calculator

Given Input numbers are 501, 874, 66, 352

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

Divisors of 501

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

1, 3, 167, 501

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 501, 874, 66, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 874, 66, 352 is 1.

Therefore, GCD of numbers 501, 874, 66, 352 is 1

Given Input Data is 501, 874, 66, 352

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(501, 874) = 437874

GCD(501, 874) = ( 501 x 874 ) / 437874

GCD(501, 874) = 437874 / 437874

GCD(501, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 501, 874, 66, 352 is 1

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1. What is the GCD of 501, 874, 66, 352?

GCD of 501, 874, 66, 352 is 1

2. Where do I get the detailed procedure to find GCD of 501, 874, 66, 352?

You can find a detailed procedure to find GCD of 501, 874, 66, 352 on our page.

3. How to find GCD of 501, 874, 66, 352 on a calculator?

You can find the GCD of 501, 874, 66, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.