GCD of 920, 948, 37, 404 Calculator

Given Input numbers are 920, 948, 37, 404

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 920, 948, 37, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 948, 37, 404 is 1.

Therefore, GCD of numbers 920, 948, 37, 404 is 1

Given Input Data is 920, 948, 37, 404

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 37 is 37

Prime Factorization of 404 is 2 x 2 x 101

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(920, 948) = 218040

GCD(920, 948) = ( 920 x 948 ) / 218040

GCD(920, 948) = 872160 / 218040

GCD(920, 948) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 37

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

LCM(4, 37) = 148

GCD(4, 37) = ( 4 x 37 ) / 148

GCD(4, 37) = 148 / 148

GCD(4, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 920, 948, 37, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 267, 60, 864
• GCD of 118, 946, 41, 648
• GCD of 546, 567, 27, 489
• GCD of 521, 439, 18, 996
• GCD of 983, 281, 80, 854

1. What is the GCD of 920, 948, 37, 404?

GCD of 920, 948, 37, 404 is 1

2. Where do I get the detailed procedure to find GCD of 920, 948, 37, 404?

You can find a detailed procedure to find GCD of 920, 948, 37, 404 on our page.

3. How to find GCD of 920, 948, 37, 404 on a calculator?

You can find the GCD of 920, 948, 37, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.