GCD of 948, 914, 227, 941 Calculator

Given Input numbers are 948, 914, 227, 941

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 948, 914, 227, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 914, 227, 941 is 1.

Therefore, GCD of numbers 948, 914, 227, 941 is 1

Given Input Data is 948, 914, 227, 941

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 914 is 2 x 457

Prime Factorization of 227 is 227

Prime Factorization of 941 is 941

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, 914) = 433236

GCD(948, 914) = ( 948 x 914 ) / 433236

GCD(948, 914) = 866472 / 433236

GCD(948, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 227

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

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

GCD(2, 227) = 454 / 454

GCD(2, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

GCD of 948, 914, 227, 941 is 1

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1. What is the GCD of 948, 914, 227, 941?

GCD of 948, 914, 227, 941 is 1

2. Where do I get the detailed procedure to find GCD of 948, 914, 227, 941?

You can find a detailed procedure to find GCD of 948, 914, 227, 941 on our page.

3. How to find GCD of 948, 914, 227, 941 on a calculator?

You can find the GCD of 948, 914, 227, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.