GCD of 267, 120, 85, 364 Calculator

Given Input numbers are 267, 120, 85, 364

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 267, 120, 85, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 120, 85, 364 is 1.

Therefore, GCD of numbers 267, 120, 85, 364 is 1

Given Input Data is 267, 120, 85, 364

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 85 is 5 x 17

Prime Factorization of 364 is 2 x 2 x 7 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(267, 120) = 10680

GCD(267, 120) = ( 267 x 120 ) / 10680

GCD(267, 120) = 32040 / 10680

GCD(267, 120) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 267, 120, 85, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 811, 61, 258
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• GCD of 489, 955, 91, 859

1. What is the GCD of 267, 120, 85, 364?

GCD of 267, 120, 85, 364 is 1

2. Where do I get the detailed procedure to find GCD of 267, 120, 85, 364?

You can find a detailed procedure to find GCD of 267, 120, 85, 364 on our page.

3. How to find GCD of 267, 120, 85, 364 on a calculator?

You can find the GCD of 267, 120, 85, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.