GCD of 291, 349, 735, 266 Calculator

Given Input numbers are 291, 349, 735, 266

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 291, 349, 735, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 349, 735, 266 is 1.

Therefore, GCD of numbers 291, 349, 735, 266 is 1

Given Input Data is 291, 349, 735, 266

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 349 is 349

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 266 is 2 x 7 x 19

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(291, 349) = 101559

GCD(291, 349) = ( 291 x 349 ) / 101559

GCD(291, 349) = 101559 / 101559

GCD(291, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 291, 349, 735, 266 is 1

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1. What is the GCD of 291, 349, 735, 266?

GCD of 291, 349, 735, 266 is 1

2. Where do I get the detailed procedure to find GCD of 291, 349, 735, 266?

You can find a detailed procedure to find GCD of 291, 349, 735, 266 on our page.

3. How to find GCD of 291, 349, 735, 266 on a calculator?

You can find the GCD of 291, 349, 735, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.