GCD of 901, 748, 48, 914 Calculator

Given Input numbers are 901, 748, 48, 914

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 901, 748, 48, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 748, 48, 914 is 1.

Therefore, GCD of numbers 901, 748, 48, 914 is 1

Given Input Data is 901, 748, 48, 914

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

Prime Factorization of 914 is 2 x 457

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(901, 748) = 39644

GCD(901, 748) = ( 901 x 748 ) / 39644

GCD(901, 748) = 673948 / 39644

GCD(901, 748) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 48

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

LCM(17, 48) = 816

GCD(17, 48) = ( 17 x 48 ) / 816

GCD(17, 48) = 816 / 816

GCD(17, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 901, 748, 48, 914 is 1

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• GCD of 280, 173, 21, 669
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• GCD of 135, 592, 12, 142

1. What is the GCD of 901, 748, 48, 914?

GCD of 901, 748, 48, 914 is 1

2. Where do I get the detailed procedure to find GCD of 901, 748, 48, 914?

You can find a detailed procedure to find GCD of 901, 748, 48, 914 on our page.

3. How to find GCD of 901, 748, 48, 914 on a calculator?

You can find the GCD of 901, 748, 48, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.