GCD of 948, 257, 96, 828 Calculator

Given Input numbers are 948, 257, 96, 828

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 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 948, 257, 96, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 257, 96, 828 is 1.

Therefore, GCD of numbers 948, 257, 96, 828 is 1

Given Input Data is 948, 257, 96, 828

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 257 is 257

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 828 is 2 x 2 x 3 x 3 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(948, 257) = 243636

GCD(948, 257) = ( 948 x 257 ) / 243636

GCD(948, 257) = 243636 / 243636

GCD(948, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 948, 257, 96, 828 is 1

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1. What is the GCD of 948, 257, 96, 828?

GCD of 948, 257, 96, 828 is 1

2. Where do I get the detailed procedure to find GCD of 948, 257, 96, 828?

You can find a detailed procedure to find GCD of 948, 257, 96, 828 on our page.

3. How to find GCD of 948, 257, 96, 828 on a calculator?

You can find the GCD of 948, 257, 96, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.