GCD of 562, 642, 98, 264 Calculator

Given Input numbers are 562, 642, 98, 264

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 562, 642, 98, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 642, 98, 264 is 2.

Therefore, GCD of numbers 562, 642, 98, 264 is 2

Given Input Data is 562, 642, 98, 264

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(562, 642) = 180402

GCD(562, 642) = ( 562 x 642 ) / 180402

GCD(562, 642) = 360804 / 180402

GCD(562, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 562, 642, 98, 264 is 2

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• GCD of 300, 715, 68, 457
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• GCD of 593, 218, 19, 796

1. What is the GCD of 562, 642, 98, 264?

GCD of 562, 642, 98, 264 is 2

2. Where do I get the detailed procedure to find GCD of 562, 642, 98, 264?

You can find a detailed procedure to find GCD of 562, 642, 98, 264 on our page.

3. How to find GCD of 562, 642, 98, 264 on a calculator?

You can find the GCD of 562, 642, 98, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.