GCD of 859, 277, 860, 345 Calculator

Given Input numbers are 859, 277, 860, 345

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

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 859, 277, 860, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 277, 860, 345 is 1.

Therefore, GCD of numbers 859, 277, 860, 345 is 1

Given Input Data is 859, 277, 860, 345

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

Prime Factorization of 859 is 859

Prime Factorization of 277 is 277

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 345 is 3 x 5 x 23

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(859, 277) = 237943

GCD(859, 277) = ( 859 x 277 ) / 237943

GCD(859, 277) = 237943 / 237943

GCD(859, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 859, 277, 860, 345 is 1

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1. What is the GCD of 859, 277, 860, 345?

GCD of 859, 277, 860, 345 is 1

2. Where do I get the detailed procedure to find GCD of 859, 277, 860, 345?

You can find a detailed procedure to find GCD of 859, 277, 860, 345 on our page.

3. How to find GCD of 859, 277, 860, 345 on a calculator?

You can find the GCD of 859, 277, 860, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.