GCD of 109, 168, 61, 126 Calculator

Given Input numbers are 109, 168, 61, 126

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 109, 168, 61, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 168, 61, 126 is 1.

Therefore, GCD of numbers 109, 168, 61, 126 is 1

Given Input Data is 109, 168, 61, 126

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

Prime Factorization of 109 is 109

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 61 is 61

Prime Factorization of 126 is 2 x 3 x 3 x 7

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, 168) = 18312

GCD(109, 168) = ( 109 x 168 ) / 18312

GCD(109, 168) = 18312 / 18312

GCD(109, 168) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 109, 168, 61, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 109, 40, 474
• GCD of 172, 215, 42, 238
• GCD of 855, 940, 89, 993
• GCD of 869, 812, 73, 809
• GCD of 988, 408, 89, 974

1. What is the GCD of 109, 168, 61, 126?

GCD of 109, 168, 61, 126 is 1

2. Where do I get the detailed procedure to find GCD of 109, 168, 61, 126?

You can find a detailed procedure to find GCD of 109, 168, 61, 126 on our page.

3. How to find GCD of 109, 168, 61, 126 on a calculator?

You can find the GCD of 109, 168, 61, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.