GCD of 865, 690, 823, 280 Calculator

Given Input numbers are 865, 690, 823, 280

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 865, 690, 823, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 690, 823, 280 is 1.

Therefore, GCD of numbers 865, 690, 823, 280 is 1

Given Input Data is 865, 690, 823, 280

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 823 is 823

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(865, 690) = 119370

GCD(865, 690) = ( 865 x 690 ) / 119370

GCD(865, 690) = 596850 / 119370

GCD(865, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 823

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

LCM(5, 823) = 4115

GCD(5, 823) = ( 5 x 823 ) / 4115

GCD(5, 823) = 4115 / 4115

GCD(5, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 865, 690, 823, 280 is 1

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1. What is the GCD of 865, 690, 823, 280?

GCD of 865, 690, 823, 280 is 1

2. Where do I get the detailed procedure to find GCD of 865, 690, 823, 280?

You can find a detailed procedure to find GCD of 865, 690, 823, 280 on our page.

3. How to find GCD of 865, 690, 823, 280 on a calculator?

You can find the GCD of 865, 690, 823, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.