GCD of 948, 921, 798, 955 Calculator

Given Input numbers are 948, 921, 798, 955

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 955

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

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 948, 921, 798, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 921, 798, 955 is 1.

Therefore, GCD of numbers 948, 921, 798, 955 is 1

Given Input Data is 948, 921, 798, 955

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 921 is 3 x 307

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 955 is 5 x 191

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, 921) = 291036

GCD(948, 921) = ( 948 x 921 ) / 291036

GCD(948, 921) = 873108 / 291036

GCD(948, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 798

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

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

GCD(3, 798) = 2394 / 798

GCD(3, 798) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 955

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

LCM(3, 955) = 2865

GCD(3, 955) = ( 3 x 955 ) / 2865

GCD(3, 955) = 2865 / 2865

GCD(3, 955) = 1

GCD of 948, 921, 798, 955 is 1

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1. What is the GCD of 948, 921, 798, 955?

GCD of 948, 921, 798, 955 is 1

2. Where do I get the detailed procedure to find GCD of 948, 921, 798, 955?

You can find a detailed procedure to find GCD of 948, 921, 798, 955 on our page.

3. How to find GCD of 948, 921, 798, 955 on a calculator?

You can find the GCD of 948, 921, 798, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.