GCD of 295, 114, 950, 476 Calculator

Given Input numbers are 295, 114, 950, 476

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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

Greatest Common Divisior

We found the divisors of 295, 114, 950, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 114, 950, 476 is 1.

Therefore, GCD of numbers 295, 114, 950, 476 is 1

Given Input Data is 295, 114, 950, 476

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 476 is 2 x 2 x 7 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(295, 114) = 33630

GCD(295, 114) = ( 295 x 114 ) / 33630

GCD(295, 114) = 33630 / 33630

GCD(295, 114) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 295, 114, 950, 476 is 1

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1. What is the GCD of 295, 114, 950, 476?

GCD of 295, 114, 950, 476 is 1

2. Where do I get the detailed procedure to find GCD of 295, 114, 950, 476?

You can find a detailed procedure to find GCD of 295, 114, 950, 476 on our page.

3. How to find GCD of 295, 114, 950, 476 on a calculator?

You can find the GCD of 295, 114, 950, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.