GCD of 142, 716, 122, 118 Calculator

Given Input numbers are 142, 716, 122, 118

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

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 142, 716, 122, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 716, 122, 118 is 2.

Therefore, GCD of numbers 142, 716, 122, 118 is 2

Given Input Data is 142, 716, 122, 118

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 122 is 2 x 61

Prime Factorization of 118 is 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 716) = 50836

GCD(142, 716) = ( 142 x 716 ) / 50836

GCD(142, 716) = 101672 / 50836

GCD(142, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 142, 716, 122, 118 is 2

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• GCD of 702, 304, 578, 730
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• GCD of 267, 799, 692, 123

1. What is the GCD of 142, 716, 122, 118?

GCD of 142, 716, 122, 118 is 2

2. Where do I get the detailed procedure to find GCD of 142, 716, 122, 118?

You can find a detailed procedure to find GCD of 142, 716, 122, 118 on our page.

3. How to find GCD of 142, 716, 122, 118 on a calculator?

You can find the GCD of 142, 716, 122, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.