GCD of 642, 296, 70, 558 Calculator

Given Input numbers are 642, 296, 70, 558

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 642, 296, 70, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 296, 70, 558 is 2.

Therefore, GCD of numbers 642, 296, 70, 558 is 2

Given Input Data is 642, 296, 70, 558

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 296 is 2 x 2 x 2 x 37

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 558 is 2 x 3 x 3 x 31

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, 296) = 95016

GCD(642, 296) = ( 642 x 296 ) / 95016

GCD(642, 296) = 190032 / 95016

GCD(642, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 642, 296, 70, 558 is 2

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1. What is the GCD of 642, 296, 70, 558?

GCD of 642, 296, 70, 558 is 2

2. Where do I get the detailed procedure to find GCD of 642, 296, 70, 558?

You can find a detailed procedure to find GCD of 642, 296, 70, 558 on our page.

3. How to find GCD of 642, 296, 70, 558 on a calculator?

You can find the GCD of 642, 296, 70, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.