GCD of 613, 117, 84, 175 Calculator

Given Input numbers are 613, 117, 84, 175

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

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 117

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

1, 3, 9, 13, 39, 117

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 613, 117, 84, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 117, 84, 175 is 1.

Therefore, GCD of numbers 613, 117, 84, 175 is 1

Given Input Data is 613, 117, 84, 175

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

Prime Factorization of 613 is 613

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 175 is 5 x 5 x 7

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(613, 117) = 71721

GCD(613, 117) = ( 613 x 117 ) / 71721

GCD(613, 117) = 71721 / 71721

GCD(613, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 613, 117, 84, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 446, 91, 622
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• GCD of 744, 811, 86, 809
• GCD of 207, 536, 56, 893

1. What is the GCD of 613, 117, 84, 175?

GCD of 613, 117, 84, 175 is 1

2. Where do I get the detailed procedure to find GCD of 613, 117, 84, 175?

You can find a detailed procedure to find GCD of 613, 117, 84, 175 on our page.

3. How to find GCD of 613, 117, 84, 175 on a calculator?

You can find the GCD of 613, 117, 84, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.