GCD of 476, 959, 63, 748 Calculator

Given Input numbers are 476, 959, 63, 748

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 476, 959, 63, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 959, 63, 748 is 1.

Therefore, GCD of numbers 476, 959, 63, 748 is 1

Given Input Data is 476, 959, 63, 748

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 959 is 7 x 137

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 959) = 65212

GCD(476, 959) = ( 476 x 959 ) / 65212

GCD(476, 959) = 456484 / 65212

GCD(476, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 63

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

LCM(7, 63) = 63

GCD(7, 63) = ( 7 x 63 ) / 63

GCD(7, 63) = 441 / 63

GCD(7, 63) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 748

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

LCM(7, 748) = 5236

GCD(7, 748) = ( 7 x 748 ) / 5236

GCD(7, 748) = 5236 / 5236

GCD(7, 748) = 1

GCD of 476, 959, 63, 748 is 1

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1. What is the GCD of 476, 959, 63, 748?

GCD of 476, 959, 63, 748 is 1

2. Where do I get the detailed procedure to find GCD of 476, 959, 63, 748?

You can find a detailed procedure to find GCD of 476, 959, 63, 748 on our page.

3. How to find GCD of 476, 959, 63, 748 on a calculator?

You can find the GCD of 476, 959, 63, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.