GCD of 278, 858, 65, 685 Calculator

Given Input numbers are 278, 858, 65, 685

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 278, 858, 65, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 858, 65, 685 is 1.

Therefore, GCD of numbers 278, 858, 65, 685 is 1

Given Input Data is 278, 858, 65, 685

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 685 is 5 x 137

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(278, 858) = 119262

GCD(278, 858) = ( 278 x 858 ) / 119262

GCD(278, 858) = 238524 / 119262

GCD(278, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 278, 858, 65, 685 is 1

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1. What is the GCD of 278, 858, 65, 685?

GCD of 278, 858, 65, 685 is 1

2. Where do I get the detailed procedure to find GCD of 278, 858, 65, 685?

You can find a detailed procedure to find GCD of 278, 858, 65, 685 on our page.

3. How to find GCD of 278, 858, 65, 685 on a calculator?

You can find the GCD of 278, 858, 65, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.