GCD of 574, 860, 60, 496 Calculator

Given Input numbers are 574, 860, 60, 496

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 574, 860, 60, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 860, 60, 496 is 2.

Therefore, GCD of numbers 574, 860, 60, 496 is 2

Given Input Data is 574, 860, 60, 496

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 496 is 2 x 2 x 2 x 2 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(574, 860) = 246820

GCD(574, 860) = ( 574 x 860 ) / 246820

GCD(574, 860) = 493640 / 246820

GCD(574, 860) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 574, 860, 60, 496 is 2

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• GCD of 231, 445, 45, 437
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• GCD of 898, 303, 55, 783
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• GCD of 802, 373, 27, 681

1. What is the GCD of 574, 860, 60, 496?

GCD of 574, 860, 60, 496 is 2

2. Where do I get the detailed procedure to find GCD of 574, 860, 60, 496?

You can find a detailed procedure to find GCD of 574, 860, 60, 496 on our page.

3. How to find GCD of 574, 860, 60, 496 on a calculator?

You can find the GCD of 574, 860, 60, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.