GCD of 142, 114, 45, 124 Calculator

Given Input numbers are 142, 114, 45, 124

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 142, 114, 45, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 114, 45, 124 is 1.

Therefore, GCD of numbers 142, 114, 45, 124 is 1

Given Input Data is 142, 114, 45, 124

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 124 is 2 x 2 x 31

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(142, 114) = 8094

GCD(142, 114) = ( 142 x 114 ) / 8094

GCD(142, 114) = 16188 / 8094

GCD(142, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 142, 114, 45, 124 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 157, 86, 817
• GCD of 420, 789, 16, 594
• GCD of 495, 849, 20, 789
• GCD of 294, 396, 45, 557
• GCD of 181, 785, 44, 804

1. What is the GCD of 142, 114, 45, 124?

GCD of 142, 114, 45, 124 is 1

2. Where do I get the detailed procedure to find GCD of 142, 114, 45, 124?

You can find a detailed procedure to find GCD of 142, 114, 45, 124 on our page.

3. How to find GCD of 142, 114, 45, 124 on a calculator?

You can find the GCD of 142, 114, 45, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.