GCD of 802, 346, 171, 574 Calculator

Given Input numbers are 802, 346, 171, 574

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 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 802, 346, 171, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 346, 171, 574 is 1.

Therefore, GCD of numbers 802, 346, 171, 574 is 1

Given Input Data is 802, 346, 171, 574

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 346 is 2 x 173

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 574 is 2 x 7 x 41

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, 346) = 138746

GCD(802, 346) = ( 802 x 346 ) / 138746

GCD(802, 346) = 277492 / 138746

GCD(802, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 802, 346, 171, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 136, 713, 371
• GCD of 890, 427, 865, 278
• GCD of 482, 213, 534, 319
• GCD of 395, 425, 499, 541
• GCD of 474, 718, 411, 968

1. What is the GCD of 802, 346, 171, 574?

GCD of 802, 346, 171, 574 is 1

2. Where do I get the detailed procedure to find GCD of 802, 346, 171, 574?

You can find a detailed procedure to find GCD of 802, 346, 171, 574 on our page.

3. How to find GCD of 802, 346, 171, 574 on a calculator?

You can find the GCD of 802, 346, 171, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.