GCD of 448, 436, 37, 892 Calculator

Given Input numbers are 448, 436, 37, 892

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 37

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

1, 37

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 448, 436, 37, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 436, 37, 892 is 1.

Therefore, GCD of numbers 448, 436, 37, 892 is 1

Given Input Data is 448, 436, 37, 892

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 37 is 37

Prime Factorization of 892 is 2 x 2 x 223

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(448, 436) = 48832

GCD(448, 436) = ( 448 x 436 ) / 48832

GCD(448, 436) = 195328 / 48832

GCD(448, 436) = 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 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 448, 436, 37, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 669, 46, 812
• GCD of 418, 483, 87, 760
• GCD of 473, 833, 73, 941
• GCD of 794, 879, 19, 170
• GCD of 436, 499, 16, 162

1. What is the GCD of 448, 436, 37, 892?

GCD of 448, 436, 37, 892 is 1

2. Where do I get the detailed procedure to find GCD of 448, 436, 37, 892?

You can find a detailed procedure to find GCD of 448, 436, 37, 892 on our page.

3. How to find GCD of 448, 436, 37, 892 on a calculator?

You can find the GCD of 448, 436, 37, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.