GCD of 702, 639, 343, 434 Calculator

Given Input numbers are 702, 639, 343, 434

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

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 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 343

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

1, 7, 49, 343

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 702, 639, 343, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 639, 343, 434 is 1.

Therefore, GCD of numbers 702, 639, 343, 434 is 1

Given Input Data is 702, 639, 343, 434

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

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 434 is 2 x 7 x 31

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(702, 639) = 49842

GCD(702, 639) = ( 702 x 639 ) / 49842

GCD(702, 639) = 448578 / 49842

GCD(702, 639) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 343

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

LCM(9, 343) = 3087

GCD(9, 343) = ( 9 x 343 ) / 3087

GCD(9, 343) = 3087 / 3087

GCD(9, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 702, 639, 343, 434 is 1

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1. What is the GCD of 702, 639, 343, 434?

GCD of 702, 639, 343, 434 is 1

2. Where do I get the detailed procedure to find GCD of 702, 639, 343, 434?

You can find a detailed procedure to find GCD of 702, 639, 343, 434 on our page.

3. How to find GCD of 702, 639, 343, 434 on a calculator?

You can find the GCD of 702, 639, 343, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.