GCD of 948, 476, 955, 377 Calculator

Given Input numbers are 948, 476, 955, 377

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

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

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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 948, 476, 955, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 476, 955, 377 is 1.

Therefore, GCD of numbers 948, 476, 955, 377 is 1

Given Input Data is 948, 476, 955, 377

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

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

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

Prime Factorization of 955 is 5 x 191

Prime Factorization of 377 is 13 x 29

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(948, 476) = 112812

GCD(948, 476) = ( 948 x 476 ) / 112812

GCD(948, 476) = 451248 / 112812

GCD(948, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 955

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

LCM(4, 955) = 3820

GCD(4, 955) = ( 4 x 955 ) / 3820

GCD(4, 955) = 3820 / 3820

GCD(4, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 948, 476, 955, 377 is 1

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1. What is the GCD of 948, 476, 955, 377?

GCD of 948, 476, 955, 377 is 1

2. Where do I get the detailed procedure to find GCD of 948, 476, 955, 377?

You can find a detailed procedure to find GCD of 948, 476, 955, 377 on our page.

3. How to find GCD of 948, 476, 955, 377 on a calculator?

You can find the GCD of 948, 476, 955, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.