GCD of 642, 854, 224, 118 Calculator

Given Input numbers are 642, 854, 224, 118

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 642, 854, 224, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 854, 224, 118 is 2.

Therefore, GCD of numbers 642, 854, 224, 118 is 2

Given Input Data is 642, 854, 224, 118

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(642, 854) = 274134

GCD(642, 854) = ( 642 x 854 ) / 274134

GCD(642, 854) = 548268 / 274134

GCD(642, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 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 642, 854, 224, 118 is 2

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1. What is the GCD of 642, 854, 224, 118?

GCD of 642, 854, 224, 118 is 2

2. Where do I get the detailed procedure to find GCD of 642, 854, 224, 118?

You can find a detailed procedure to find GCD of 642, 854, 224, 118 on our page.

3. How to find GCD of 642, 854, 224, 118 on a calculator?

You can find the GCD of 642, 854, 224, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.