GCD of 143, 138, 43, 220 Calculator

Given Input numbers are 143, 138, 43, 220

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 143, 138, 43, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 138, 43, 220 is 1.

Therefore, GCD of numbers 143, 138, 43, 220 is 1

Given Input Data is 143, 138, 43, 220

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 43 is 43

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(143, 138) = 19734

GCD(143, 138) = ( 143 x 138 ) / 19734

GCD(143, 138) = 19734 / 19734

GCD(143, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 143, 138, 43, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 389, 79, 706
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• GCD of 529, 185, 68, 668

1. What is the GCD of 143, 138, 43, 220?

GCD of 143, 138, 43, 220 is 1

2. Where do I get the detailed procedure to find GCD of 143, 138, 43, 220?

You can find a detailed procedure to find GCD of 143, 138, 43, 220 on our page.

3. How to find GCD of 143, 138, 43, 220 on a calculator?

You can find the GCD of 143, 138, 43, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.