GCD of 370, 895, 992, 406 Calculator

Given Input numbers are 370, 895, 992, 406

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 370, 895, 992, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 895, 992, 406 is 1.

Therefore, GCD of numbers 370, 895, 992, 406 is 1

Given Input Data is 370, 895, 992, 406

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 895 is 5 x 179

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 406 is 2 x 7 x 29

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(370, 895) = 66230

GCD(370, 895) = ( 370 x 895 ) / 66230

GCD(370, 895) = 331150 / 66230

GCD(370, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 992

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

LCM(5, 992) = 4960

GCD(5, 992) = ( 5 x 992 ) / 4960

GCD(5, 992) = 4960 / 4960

GCD(5, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 370, 895, 992, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 317, 290, 381
• GCD of 331, 784, 244, 100
• GCD of 221, 925, 210, 998
• GCD of 447, 480, 720, 395
• GCD of 116, 726, 192, 477

1. What is the GCD of 370, 895, 992, 406?

GCD of 370, 895, 992, 406 is 1

2. Where do I get the detailed procedure to find GCD of 370, 895, 992, 406?

You can find a detailed procedure to find GCD of 370, 895, 992, 406 on our page.

3. How to find GCD of 370, 895, 992, 406 on a calculator?

You can find the GCD of 370, 895, 992, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.