GCD of 107, 575, 88, 993 Calculator

Given Input numbers are 107, 575, 88, 993

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 107, 575, 88, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 575, 88, 993 is 1.

Therefore, GCD of numbers 107, 575, 88, 993 is 1

Given Input Data is 107, 575, 88, 993

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

Prime Factorization of 107 is 107

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 993 is 3 x 331

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(107, 575) = 61525

GCD(107, 575) = ( 107 x 575 ) / 61525

GCD(107, 575) = 61525 / 61525

GCD(107, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 107, 575, 88, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 894, 60, 566
• GCD of 243, 753, 59, 617
• GCD of 413, 454, 96, 999
• GCD of 403, 725, 67, 776
• GCD of 334, 510, 89, 879

1. What is the GCD of 107, 575, 88, 993?

GCD of 107, 575, 88, 993 is 1

2. Where do I get the detailed procedure to find GCD of 107, 575, 88, 993?

You can find a detailed procedure to find GCD of 107, 575, 88, 993 on our page.

3. How to find GCD of 107, 575, 88, 993 on a calculator?

You can find the GCD of 107, 575, 88, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.