GCD of 904, 946, 49, 412 Calculator

Given Input numbers are 904, 946, 49, 412

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 904, 946, 49, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 946, 49, 412 is 1.

Therefore, GCD of numbers 904, 946, 49, 412 is 1

Given Input Data is 904, 946, 49, 412

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 49 is 7 x 7

Prime Factorization of 412 is 2 x 2 x 103

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(904, 946) = 427592

GCD(904, 946) = ( 904 x 946 ) / 427592

GCD(904, 946) = 855184 / 427592

GCD(904, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 904, 946, 49, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 966, 74, 879
• GCD of 261, 239, 38, 645
• GCD of 304, 595, 61, 360
• GCD of 581, 754, 79, 452
• GCD of 598, 833, 95, 518

1. What is the GCD of 904, 946, 49, 412?

GCD of 904, 946, 49, 412 is 1

2. Where do I get the detailed procedure to find GCD of 904, 946, 49, 412?

You can find a detailed procedure to find GCD of 904, 946, 49, 412 on our page.

3. How to find GCD of 904, 946, 49, 412 on a calculator?

You can find the GCD of 904, 946, 49, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.