GCD of 372, 208, 70, 687 Calculator

Given Input numbers are 372, 208, 70, 687

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 372, 208, 70, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 208, 70, 687 is 1.

Therefore, GCD of numbers 372, 208, 70, 687 is 1

Given Input Data is 372, 208, 70, 687

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 687 is 3 x 229

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(372, 208) = 19344

GCD(372, 208) = ( 372 x 208 ) / 19344

GCD(372, 208) = 77376 / 19344

GCD(372, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 372, 208, 70, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 231, 84, 343
• GCD of 691, 907, 63, 237
• GCD of 905, 920, 43, 330
• GCD of 513, 981, 46, 237
• GCD of 373, 268, 93, 454

1. What is the GCD of 372, 208, 70, 687?

GCD of 372, 208, 70, 687 is 1

2. Where do I get the detailed procedure to find GCD of 372, 208, 70, 687?

You can find a detailed procedure to find GCD of 372, 208, 70, 687 on our page.

3. How to find GCD of 372, 208, 70, 687 on a calculator?

You can find the GCD of 372, 208, 70, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.