GCD of 59, 116, 141, 229 Calculator

Given Input numbers are 59, 116, 141, 229

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

Divisors of 59

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

1, 59

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 59, 116, 141, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 116, 141, 229 is 1.

Therefore, GCD of numbers 59, 116, 141, 229 is 1

Given Input Data is 59, 116, 141, 229

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

Prime Factorization of 59 is 59

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 141 is 3 x 47

Prime Factorization of 229 is 229

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(59, 116) = 6844

GCD(59, 116) = ( 59 x 116 ) / 6844

GCD(59, 116) = 6844 / 6844

GCD(59, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 59, 116, 141, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 728, 944, 520
• GCD of 34, 447, 191, 923
• GCD of 51, 232, 948, 579
• GCD of 68, 994, 127, 921
• GCD of 32, 533, 972, 887

1. What is the GCD of 59, 116, 141, 229?

GCD of 59, 116, 141, 229 is 1

2. Where do I get the detailed procedure to find GCD of 59, 116, 141, 229?

You can find a detailed procedure to find GCD of 59, 116, 141, 229 on our page.

3. How to find GCD of 59, 116, 141, 229 on a calculator?

You can find the GCD of 59, 116, 141, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.