GCD of 307, 434, 48, 952 Calculator

Given Input numbers are 307, 434, 48, 952

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 307, 434, 48, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 434, 48, 952 is 1.

Therefore, GCD of numbers 307, 434, 48, 952 is 1

Given Input Data is 307, 434, 48, 952

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

Prime Factorization of 307 is 307

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 952 is 2 x 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(307, 434) = 133238

GCD(307, 434) = ( 307 x 434 ) / 133238

GCD(307, 434) = 133238 / 133238

GCD(307, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 307, 434, 48, 952 is 1

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1. What is the GCD of 307, 434, 48, 952?

GCD of 307, 434, 48, 952 is 1

2. Where do I get the detailed procedure to find GCD of 307, 434, 48, 952?

You can find a detailed procedure to find GCD of 307, 434, 48, 952 on our page.

3. How to find GCD of 307, 434, 48, 952 on a calculator?

You can find the GCD of 307, 434, 48, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.