GCD of 74, 142, 219, 118 Calculator

Given Input numbers are 74, 142, 219, 118

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 142

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

1, 2, 71, 142

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 74, 142, 219, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 142, 219, 118 is 1.

Therefore, GCD of numbers 74, 142, 219, 118 is 1

Given Input Data is 74, 142, 219, 118

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 142 is 2 x 71

Prime Factorization of 219 is 3 x 73

Prime Factorization of 118 is 2 x 59

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(74, 142) = 5254

GCD(74, 142) = ( 74 x 142 ) / 5254

GCD(74, 142) = 10508 / 5254

GCD(74, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 219

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

LCM(2, 219) = 438

GCD(2, 219) = ( 2 x 219 ) / 438

GCD(2, 219) = 438 / 438

GCD(2, 219) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 74, 142, 219, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 224, 966, 673
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1. What is the GCD of 74, 142, 219, 118?

GCD of 74, 142, 219, 118 is 1

2. Where do I get the detailed procedure to find GCD of 74, 142, 219, 118?

You can find a detailed procedure to find GCD of 74, 142, 219, 118 on our page.

3. How to find GCD of 74, 142, 219, 118 on a calculator?

You can find the GCD of 74, 142, 219, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.