GCD of 701, 343, 36, 287 Calculator

Given Input numbers are 701, 343, 36, 287

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 343

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

1, 7, 49, 343

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 701, 343, 36, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 343, 36, 287 is 1.

Therefore, GCD of numbers 701, 343, 36, 287 is 1

Given Input Data is 701, 343, 36, 287

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

Prime Factorization of 701 is 701

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 287 is 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(701, 343) = 240443

GCD(701, 343) = ( 701 x 343 ) / 240443

GCD(701, 343) = 240443 / 240443

GCD(701, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 701, 343, 36, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 215, 23, 354
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• GCD of 398, 385, 27, 437

1. What is the GCD of 701, 343, 36, 287?

GCD of 701, 343, 36, 287 is 1

2. Where do I get the detailed procedure to find GCD of 701, 343, 36, 287?

You can find a detailed procedure to find GCD of 701, 343, 36, 287 on our page.

3. How to find GCD of 701, 343, 36, 287 on a calculator?

You can find the GCD of 701, 343, 36, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.