GCD of 340, 532, 29, 123 Calculator

Given Input numbers are 340, 532, 29, 123

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 340, 532, 29, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 532, 29, 123 is 1.

Therefore, GCD of numbers 340, 532, 29, 123 is 1

Given Input Data is 340, 532, 29, 123

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 29 is 29

Prime Factorization of 123 is 3 x 41

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(340, 532) = 45220

GCD(340, 532) = ( 340 x 532 ) / 45220

GCD(340, 532) = 180880 / 45220

GCD(340, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 340, 532, 29, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 526, 37, 273
• GCD of 475, 377, 22, 258
• GCD of 889, 834, 65, 153
• GCD of 227, 449, 94, 888
• GCD of 566, 461, 42, 554

1. What is the GCD of 340, 532, 29, 123?

GCD of 340, 532, 29, 123 is 1

2. Where do I get the detailed procedure to find GCD of 340, 532, 29, 123?

You can find a detailed procedure to find GCD of 340, 532, 29, 123 on our page.

3. How to find GCD of 340, 532, 29, 123 on a calculator?

You can find the GCD of 340, 532, 29, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.