GCD of 370, 864, 921, 685 Calculator

Given Input numbers are 370, 864, 921, 685

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 370, 864, 921, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 864, 921, 685 is 1.

Therefore, GCD of numbers 370, 864, 921, 685 is 1

Given Input Data is 370, 864, 921, 685

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 921 is 3 x 307

Prime Factorization of 685 is 5 x 137

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, 864) = 159840

GCD(370, 864) = ( 370 x 864 ) / 159840

GCD(370, 864) = 319680 / 159840

GCD(370, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 370, 864, 921, 685 is 1

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1. What is the GCD of 370, 864, 921, 685?

GCD of 370, 864, 921, 685 is 1

2. Where do I get the detailed procedure to find GCD of 370, 864, 921, 685?

You can find a detailed procedure to find GCD of 370, 864, 921, 685 on our page.

3. How to find GCD of 370, 864, 921, 685 on a calculator?

You can find the GCD of 370, 864, 921, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.