GCD of 66, 349, 156, 309 Calculator

Given Input numbers are 66, 349, 156, 309

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 349

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

1, 349

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 66, 349, 156, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 349, 156, 309 is 1.

Therefore, GCD of numbers 66, 349, 156, 309 is 1

Given Input Data is 66, 349, 156, 309

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 349 is 349

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 309 is 3 x 103

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(66, 349) = 23034

GCD(66, 349) = ( 66 x 349 ) / 23034

GCD(66, 349) = 23034 / 23034

GCD(66, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 66, 349, 156, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 296, 498, 266
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• GCD of 75, 566, 694, 795
• GCD of 54, 404, 955, 711

1. What is the GCD of 66, 349, 156, 309?

GCD of 66, 349, 156, 309 is 1

2. Where do I get the detailed procedure to find GCD of 66, 349, 156, 309?

You can find a detailed procedure to find GCD of 66, 349, 156, 309 on our page.

3. How to find GCD of 66, 349, 156, 309 on a calculator?

You can find the GCD of 66, 349, 156, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.