GCD of 488, 350, 66, 560 Calculator

Given Input numbers are 488, 350, 66, 560

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 488, 350, 66, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 350, 66, 560 is 2.

Therefore, GCD of numbers 488, 350, 66, 560 is 2

Given Input Data is 488, 350, 66, 560

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(488, 350) = 85400

GCD(488, 350) = ( 488 x 350 ) / 85400

GCD(488, 350) = 170800 / 85400

GCD(488, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 488, 350, 66, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 914, 59, 158
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• GCD of 286, 190, 43, 715
• GCD of 990, 326, 59, 694

1. What is the GCD of 488, 350, 66, 560?

GCD of 488, 350, 66, 560 is 2

2. Where do I get the detailed procedure to find GCD of 488, 350, 66, 560?

You can find a detailed procedure to find GCD of 488, 350, 66, 560 on our page.

3. How to find GCD of 488, 350, 66, 560 on a calculator?

You can find the GCD of 488, 350, 66, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.