GCD of 476, 221, 640, 759 Calculator

Given Input numbers are 476, 221, 640, 759

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 476, 221, 640, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 221, 640, 759 is 1.

Therefore, GCD of numbers 476, 221, 640, 759 is 1

Given Input Data is 476, 221, 640, 759

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 221 is 13 x 17

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 759 is 3 x 11 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(476, 221) = 6188

GCD(476, 221) = ( 476 x 221 ) / 6188

GCD(476, 221) = 105196 / 6188

GCD(476, 221) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 640

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

LCM(17, 640) = 10880

GCD(17, 640) = ( 17 x 640 ) / 10880

GCD(17, 640) = 10880 / 10880

GCD(17, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 476, 221, 640, 759 is 1

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1. What is the GCD of 476, 221, 640, 759?

GCD of 476, 221, 640, 759 is 1

2. Where do I get the detailed procedure to find GCD of 476, 221, 640, 759?

You can find a detailed procedure to find GCD of 476, 221, 640, 759 on our page.

3. How to find GCD of 476, 221, 640, 759 on a calculator?

You can find the GCD of 476, 221, 640, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.