GCD of 368, 560, 802, 614 Calculator

Given Input numbers are 368, 560, 802, 614

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 368, 560, 802, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 560, 802, 614 is 2.

Therefore, GCD of numbers 368, 560, 802, 614 is 2

Given Input Data is 368, 560, 802, 614

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 614 is 2 x 307

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(368, 560) = 12880

GCD(368, 560) = ( 368 x 560 ) / 12880

GCD(368, 560) = 206080 / 12880

GCD(368, 560) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 802

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

LCM(16, 802) = 6416

GCD(16, 802) = ( 16 x 802 ) / 6416

GCD(16, 802) = 12832 / 6416

GCD(16, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 368, 560, 802, 614 is 2

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1. What is the GCD of 368, 560, 802, 614?

GCD of 368, 560, 802, 614 is 2

2. Where do I get the detailed procedure to find GCD of 368, 560, 802, 614?

You can find a detailed procedure to find GCD of 368, 560, 802, 614 on our page.

3. How to find GCD of 368, 560, 802, 614 on a calculator?

You can find the GCD of 368, 560, 802, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.