GCD of 268, 429, 59, 816 Calculator

Given Input numbers are 268, 429, 59, 816

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 268, 429, 59, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 429, 59, 816 is 1.

Therefore, GCD of numbers 268, 429, 59, 816 is 1

Given Input Data is 268, 429, 59, 816

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 59 is 59

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(268, 429) = 114972

GCD(268, 429) = ( 268 x 429 ) / 114972

GCD(268, 429) = 114972 / 114972

GCD(268, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 268, 429, 59, 816 is 1

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1. What is the GCD of 268, 429, 59, 816?

GCD of 268, 429, 59, 816 is 1

2. Where do I get the detailed procedure to find GCD of 268, 429, 59, 816?

You can find a detailed procedure to find GCD of 268, 429, 59, 816 on our page.

3. How to find GCD of 268, 429, 59, 816 on a calculator?

You can find the GCD of 268, 429, 59, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.