GCD of 270, 680, 860, 167 Calculator

Given Input numbers are 270, 680, 860, 167

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 270, 680, 860, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 680, 860, 167 is 1.

Therefore, GCD of numbers 270, 680, 860, 167 is 1

Given Input Data is 270, 680, 860, 167

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

Prime Factorization of 167 is 167

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(270, 680) = 18360

GCD(270, 680) = ( 270 x 680 ) / 18360

GCD(270, 680) = 183600 / 18360

GCD(270, 680) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 860

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

LCM(10, 860) = 860

GCD(10, 860) = ( 10 x 860 ) / 860

GCD(10, 860) = 8600 / 860

GCD(10, 860) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 167

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

LCM(10, 167) = 1670

GCD(10, 167) = ( 10 x 167 ) / 1670

GCD(10, 167) = 1670 / 1670

GCD(10, 167) = 1

GCD of 270, 680, 860, 167 is 1

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1. What is the GCD of 270, 680, 860, 167?

GCD of 270, 680, 860, 167 is 1

2. Where do I get the detailed procedure to find GCD of 270, 680, 860, 167?

You can find a detailed procedure to find GCD of 270, 680, 860, 167 on our page.

3. How to find GCD of 270, 680, 860, 167 on a calculator?

You can find the GCD of 270, 680, 860, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.