GCD of 109, 345, 59, 426 Calculator

Given Input numbers are 109, 345, 59, 426

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 59

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

1, 59

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 109, 345, 59, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 345, 59, 426 is 1.

Therefore, GCD of numbers 109, 345, 59, 426 is 1

Given Input Data is 109, 345, 59, 426

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

Prime Factorization of 109 is 109

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 59 is 59

Prime Factorization of 426 is 2 x 3 x 71

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(109, 345) = 37605

GCD(109, 345) = ( 109 x 345 ) / 37605

GCD(109, 345) = 37605 / 37605

GCD(109, 345) = 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 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 109, 345, 59, 426 is 1

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• GCD of 687, 734, 69, 247
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• GCD of 966, 984, 68, 910

1. What is the GCD of 109, 345, 59, 426?

GCD of 109, 345, 59, 426 is 1

2. Where do I get the detailed procedure to find GCD of 109, 345, 59, 426?

You can find a detailed procedure to find GCD of 109, 345, 59, 426 on our page.

3. How to find GCD of 109, 345, 59, 426 on a calculator?

You can find the GCD of 109, 345, 59, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.