GCD of 860, 138, 859, 253 Calculator

Given Input numbers are 860, 138, 859, 253

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

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 859

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

1, 859

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 860, 138, 859, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 138, 859, 253 is 1.

Therefore, GCD of numbers 860, 138, 859, 253 is 1

Given Input Data is 860, 138, 859, 253

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

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 859 is 859

Prime Factorization of 253 is 11 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(860, 138) = 59340

GCD(860, 138) = ( 860 x 138 ) / 59340

GCD(860, 138) = 118680 / 59340

GCD(860, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 859

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

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

GCD(2, 859) = 1718 / 1718

GCD(2, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 860, 138, 859, 253 is 1

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1. What is the GCD of 860, 138, 859, 253?

GCD of 860, 138, 859, 253 is 1

2. Where do I get the detailed procedure to find GCD of 860, 138, 859, 253?

You can find a detailed procedure to find GCD of 860, 138, 859, 253 on our page.

3. How to find GCD of 860, 138, 859, 253 on a calculator?

You can find the GCD of 860, 138, 859, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.