GCD of 50, 407, 882, 948 Calculator

Given Input numbers are 50, 407, 882, 948

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 50, 407, 882, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 407, 882, 948 is 1.

Therefore, GCD of numbers 50, 407, 882, 948 is 1

Given Input Data is 50, 407, 882, 948

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 407 is 11 x 37

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(50, 407) = 20350

GCD(50, 407) = ( 50 x 407 ) / 20350

GCD(50, 407) = 20350 / 20350

GCD(50, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 50, 407, 882, 948 is 1

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1. What is the GCD of 50, 407, 882, 948?

GCD of 50, 407, 882, 948 is 1

2. Where do I get the detailed procedure to find GCD of 50, 407, 882, 948?

You can find a detailed procedure to find GCD of 50, 407, 882, 948 on our page.

3. How to find GCD of 50, 407, 882, 948 on a calculator?

You can find the GCD of 50, 407, 882, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.