GCD of 948, 260, 888, 853 Calculator

Given Input numbers are 948, 260, 888, 853

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 948, 260, 888, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 260, 888, 853 is 1.

Therefore, GCD of numbers 948, 260, 888, 853 is 1

Given Input Data is 948, 260, 888, 853

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 260 is 2 x 2 x 5 x 13

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 853 is 853

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, 260) = 61620

GCD(948, 260) = ( 948 x 260 ) / 61620

GCD(948, 260) = 246480 / 61620

GCD(948, 260) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 888

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

LCM(4, 888) = 888

GCD(4, 888) = ( 4 x 888 ) / 888

GCD(4, 888) = 3552 / 888

GCD(4, 888) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 853

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

LCM(4, 853) = 3412

GCD(4, 853) = ( 4 x 853 ) / 3412

GCD(4, 853) = 3412 / 3412

GCD(4, 853) = 1

GCD of 948, 260, 888, 853 is 1

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1. What is the GCD of 948, 260, 888, 853?

GCD of 948, 260, 888, 853 is 1

2. Where do I get the detailed procedure to find GCD of 948, 260, 888, 853?

You can find a detailed procedure to find GCD of 948, 260, 888, 853 on our page.

3. How to find GCD of 948, 260, 888, 853 on a calculator?

You can find the GCD of 948, 260, 888, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.