GCD of 560, 310, 692, 113 Calculator

Given Input numbers are 560, 310, 692, 113

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 560, 310, 692, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 310, 692, 113 is 1.

Therefore, GCD of numbers 560, 310, 692, 113 is 1

Given Input Data is 560, 310, 692, 113

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 310 is 2 x 5 x 31

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 113 is 113

The above numbers do not have any common prime factor. So GCD is 1

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, 310) = 17360

GCD(560, 310) = ( 560 x 310 ) / 17360

GCD(560, 310) = 173600 / 17360

GCD(560, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 692

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

LCM(10, 692) = 3460

GCD(10, 692) = ( 10 x 692 ) / 3460

GCD(10, 692) = 6920 / 3460

GCD(10, 692) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 560, 310, 692, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 463, 533, 864
• GCD of 542, 960, 165, 190
• GCD of 161, 170, 999, 636
• GCD of 562, 843, 375, 493
• GCD of 110, 112, 937, 400

1. What is the GCD of 560, 310, 692, 113?

GCD of 560, 310, 692, 113 is 1

2. Where do I get the detailed procedure to find GCD of 560, 310, 692, 113?

You can find a detailed procedure to find GCD of 560, 310, 692, 113 on our page.

3. How to find GCD of 560, 310, 692, 113 on a calculator?

You can find the GCD of 560, 310, 692, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.