GCD of 560, 600, 34, 308 Calculator

Given Input numbers are 560, 600, 34, 308

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

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 560, 600, 34, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 600, 34, 308 is 2.

Therefore, GCD of numbers 560, 600, 34, 308 is 2

Given Input Data is 560, 600, 34, 308

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

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 34 is 2 x 17

Prime Factorization of 308 is 2 x 2 x 7 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(560, 600) = 8400

GCD(560, 600) = ( 560 x 600 ) / 8400

GCD(560, 600) = 336000 / 8400

GCD(560, 600) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 34

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

LCM(40, 34) = 680

GCD(40, 34) = ( 40 x 34 ) / 680

GCD(40, 34) = 1360 / 680

GCD(40, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 560, 600, 34, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 799, 58, 878
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• GCD of 727, 779, 57, 266
• GCD of 202, 427, 13, 565
• GCD of 737, 595, 60, 159

1. What is the GCD of 560, 600, 34, 308?

GCD of 560, 600, 34, 308 is 2

2. Where do I get the detailed procedure to find GCD of 560, 600, 34, 308?

You can find a detailed procedure to find GCD of 560, 600, 34, 308 on our page.

3. How to find GCD of 560, 600, 34, 308 on a calculator?

You can find the GCD of 560, 600, 34, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.