GCD of 802, 172, 208, 715 Calculator

Given Input numbers are 802, 172, 208, 715

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 802, 172, 208, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 172, 208, 715 is 1.

Therefore, GCD of numbers 802, 172, 208, 715 is 1

Given Input Data is 802, 172, 208, 715

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 715 is 5 x 11 x 13

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(802, 172) = 68972

GCD(802, 172) = ( 802 x 172 ) / 68972

GCD(802, 172) = 137944 / 68972

GCD(802, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 715

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

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

GCD(2, 715) = 1430 / 1430

GCD(2, 715) = 1

GCD of 802, 172, 208, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 824, 402, 318
• GCD of 379, 924, 263, 394
• GCD of 495, 357, 116, 395
• GCD of 792, 344, 410, 624
• GCD of 530, 192, 252, 229

1. What is the GCD of 802, 172, 208, 715?

GCD of 802, 172, 208, 715 is 1

2. Where do I get the detailed procedure to find GCD of 802, 172, 208, 715?

You can find a detailed procedure to find GCD of 802, 172, 208, 715 on our page.

3. How to find GCD of 802, 172, 208, 715 on a calculator?

You can find the GCD of 802, 172, 208, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.