GCD of 343, 171, 702, 385 Calculator

Given Input numbers are 343, 171, 702, 385

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 343, 171, 702, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 171, 702, 385 is 1.

Therefore, GCD of numbers 343, 171, 702, 385 is 1

Given Input Data is 343, 171, 702, 385

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 385 is 5 x 7 x 11

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(343, 171) = 58653

GCD(343, 171) = ( 343 x 171 ) / 58653

GCD(343, 171) = 58653 / 58653

GCD(343, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 343, 171, 702, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 377, 920, 814
• GCD of 715, 266, 147, 743
• GCD of 345, 255, 452, 381
• GCD of 716, 513, 510, 672
• GCD of 167, 931, 554, 319

1. What is the GCD of 343, 171, 702, 385?

GCD of 343, 171, 702, 385 is 1

2. Where do I get the detailed procedure to find GCD of 343, 171, 702, 385?

You can find a detailed procedure to find GCD of 343, 171, 702, 385 on our page.

3. How to find GCD of 343, 171, 702, 385 on a calculator?

You can find the GCD of 343, 171, 702, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.