GCD of 948, 532, 13, 295 Calculator

Given Input numbers are 948, 532, 13, 295

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 295

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

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 948, 532, 13, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 532, 13, 295 is 1.

Therefore, GCD of numbers 948, 532, 13, 295 is 1

Given Input Data is 948, 532, 13, 295

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 532 is 2 x 2 x 7 x 19

Prime Factorization of 13 is 13

Prime Factorization of 295 is 5 x 59

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, 532) = 126084

GCD(948, 532) = ( 948 x 532 ) / 126084

GCD(948, 532) = 504336 / 126084

GCD(948, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 13

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

LCM(4, 13) = 52

GCD(4, 13) = ( 4 x 13 ) / 52

GCD(4, 13) = 52 / 52

GCD(4, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 948, 532, 13, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 503, 46, 982
• GCD of 203, 314, 28, 958
• GCD of 817, 907, 26, 636
• GCD of 849, 832, 95, 982
• GCD of 593, 300, 53, 899

1. What is the GCD of 948, 532, 13, 295?

GCD of 948, 532, 13, 295 is 1

2. Where do I get the detailed procedure to find GCD of 948, 532, 13, 295?

You can find a detailed procedure to find GCD of 948, 532, 13, 295 on our page.

3. How to find GCD of 948, 532, 13, 295 on a calculator?

You can find the GCD of 948, 532, 13, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.