GCD of 96, 438, 685, 374 Calculator

Given Input numbers are 96, 438, 685, 374

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 685

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

1, 5, 137, 685

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 96, 438, 685, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 438, 685, 374 is 1.

Therefore, GCD of numbers 96, 438, 685, 374 is 1

Given Input Data is 96, 438, 685, 374

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 685 is 5 x 137

Prime Factorization of 374 is 2 x 11 x 17

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(96, 438) = 7008

GCD(96, 438) = ( 96 x 438 ) / 7008

GCD(96, 438) = 42048 / 7008

GCD(96, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 685

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

LCM(6, 685) = 4110

GCD(6, 685) = ( 6 x 685 ) / 4110

GCD(6, 685) = 4110 / 4110

GCD(6, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 96, 438, 685, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 732, 282, 805
• GCD of 17, 919, 725, 409
• GCD of 24, 525, 654, 995
• GCD of 27, 352, 181, 747
• GCD of 76, 328, 669, 233

1. What is the GCD of 96, 438, 685, 374?

GCD of 96, 438, 685, 374 is 1

2. Where do I get the detailed procedure to find GCD of 96, 438, 685, 374?

You can find a detailed procedure to find GCD of 96, 438, 685, 374 on our page.

3. How to find GCD of 96, 438, 685, 374 on a calculator?

You can find the GCD of 96, 438, 685, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.