GCD of 235, 560, 796, 407 Calculator

Given Input numbers are 235, 560, 796, 407

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 235, 560, 796, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 560, 796, 407 is 1.

Therefore, GCD of numbers 235, 560, 796, 407 is 1

Given Input Data is 235, 560, 796, 407

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

Prime Factorization of 235 is 5 x 47

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 407 is 11 x 37

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(235, 560) = 26320

GCD(235, 560) = ( 235 x 560 ) / 26320

GCD(235, 560) = 131600 / 26320

GCD(235, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 796

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

LCM(5, 796) = 3980

GCD(5, 796) = ( 5 x 796 ) / 3980

GCD(5, 796) = 3980 / 3980

GCD(5, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 235, 560, 796, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 567, 150, 715
• GCD of 430, 358, 958, 751
• GCD of 473, 441, 507, 888
• GCD of 738, 868, 482, 688
• GCD of 237, 972, 215, 161

1. What is the GCD of 235, 560, 796, 407?

GCD of 235, 560, 796, 407 is 1

2. Where do I get the detailed procedure to find GCD of 235, 560, 796, 407?

You can find a detailed procedure to find GCD of 235, 560, 796, 407 on our page.

3. How to find GCD of 235, 560, 796, 407 on a calculator?

You can find the GCD of 235, 560, 796, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.