GCD of 857, 274, 58, 260 Calculator

Given Input numbers are 857, 274, 58, 260

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 857, 274, 58, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 274, 58, 260 is 1.

Therefore, GCD of numbers 857, 274, 58, 260 is 1

Given Input Data is 857, 274, 58, 260

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

Prime Factorization of 857 is 857

Prime Factorization of 274 is 2 x 137

Prime Factorization of 58 is 2 x 29

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(857, 274) = 234818

GCD(857, 274) = ( 857 x 274 ) / 234818

GCD(857, 274) = 234818 / 234818

GCD(857, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 857, 274, 58, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 157, 12, 809
• GCD of 289, 940, 81, 160
• GCD of 206, 385, 58, 429
• GCD of 988, 458, 98, 980
• GCD of 756, 849, 40, 312

1. What is the GCD of 857, 274, 58, 260?

GCD of 857, 274, 58, 260 is 1

2. Where do I get the detailed procedure to find GCD of 857, 274, 58, 260?

You can find a detailed procedure to find GCD of 857, 274, 58, 260 on our page.

3. How to find GCD of 857, 274, 58, 260 on a calculator?

You can find the GCD of 857, 274, 58, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.