GCD of 60, 456, 460, 608 Calculator

Given Input numbers are 60, 456, 460, 608

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

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 60, 456, 460, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 456, 460, 608 is 4.

Therefore, GCD of numbers 60, 456, 460, 608 is 4

Given Input Data is 60, 456, 460, 608

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

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(60, 456) = 2280

GCD(60, 456) = ( 60 x 456 ) / 2280

GCD(60, 456) = 27360 / 2280

GCD(60, 456) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 460

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

LCM(12, 460) = 1380

GCD(12, 460) = ( 12 x 460 ) / 1380

GCD(12, 460) = 5520 / 1380

GCD(12, 460) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 608

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

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

GCD(4, 608) = 2432 / 608

GCD(4, 608) = 4

GCD of 60, 456, 460, 608 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 639, 392, 801
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• GCD of 26, 518, 164, 160
• GCD of 61, 473, 873, 953
• GCD of 87, 714, 102, 873

1. What is the GCD of 60, 456, 460, 608?

GCD of 60, 456, 460, 608 is 4

2. Where do I get the detailed procedure to find GCD of 60, 456, 460, 608?

You can find a detailed procedure to find GCD of 60, 456, 460, 608 on our page.

3. How to find GCD of 60, 456, 460, 608 on a calculator?

You can find the GCD of 60, 456, 460, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.