GCD of 84, 117, 740, 317 Calculator

Given Input numbers are 84, 117, 740, 317

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 84, 117, 740, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 117, 740, 317 is 1.

Therefore, GCD of numbers 84, 117, 740, 317 is 1

Given Input Data is 84, 117, 740, 317

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 317 is 317

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(84, 117) = 3276

GCD(84, 117) = ( 84 x 117 ) / 3276

GCD(84, 117) = 9828 / 3276

GCD(84, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 740

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

LCM(3, 740) = 2220

GCD(3, 740) = ( 3 x 740 ) / 2220

GCD(3, 740) = 2220 / 2220

GCD(3, 740) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 84, 117, 740, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 225, 980, 839
• GCD of 49, 654, 367, 341
• GCD of 30, 223, 934, 308
• GCD of 31, 917, 119, 273
• GCD of 20, 632, 802, 989

1. What is the GCD of 84, 117, 740, 317?

GCD of 84, 117, 740, 317 is 1

2. Where do I get the detailed procedure to find GCD of 84, 117, 740, 317?

You can find a detailed procedure to find GCD of 84, 117, 740, 317 on our page.

3. How to find GCD of 84, 117, 740, 317 on a calculator?

You can find the GCD of 84, 117, 740, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.