GCD of 560, 340, 802, 860 Calculator

Given Input numbers are 560, 340, 802, 860

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 802

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

1, 2, 401, 802

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

Greatest Common Divisior

We found the divisors of 560, 340, 802, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 340, 802, 860 is 2.

Therefore, GCD of numbers 560, 340, 802, 860 is 2

Given Input Data is 560, 340, 802, 860

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 340 is 2 x 2 x 5 x 17

Prime Factorization of 802 is 2 x 401

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

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, 340) = 9520

GCD(560, 340) = ( 560 x 340 ) / 9520

GCD(560, 340) = 190400 / 9520

GCD(560, 340) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 802

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

LCM(20, 802) = 8020

GCD(20, 802) = ( 20 x 802 ) / 8020

GCD(20, 802) = 16040 / 8020

GCD(20, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 860

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

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

GCD(2, 860) = 1720 / 860

GCD(2, 860) = 2

GCD of 560, 340, 802, 860 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 133, 297, 948
• GCD of 357, 375, 668, 943
• GCD of 828, 778, 254, 773
• GCD of 431, 827, 463, 171
• GCD of 413, 916, 455, 673

1. What is the GCD of 560, 340, 802, 860?

GCD of 560, 340, 802, 860 is 2

2. Where do I get the detailed procedure to find GCD of 560, 340, 802, 860?

You can find a detailed procedure to find GCD of 560, 340, 802, 860 on our page.

3. How to find GCD of 560, 340, 802, 860 on a calculator?

You can find the GCD of 560, 340, 802, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.