GCD of 538, 759, 35, 117 Calculator

Given Input numbers are 538, 759, 35, 117

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 538, 759, 35, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 759, 35, 117 is 1.

Therefore, GCD of numbers 538, 759, 35, 117 is 1

Given Input Data is 538, 759, 35, 117

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 35 is 5 x 7

Prime Factorization of 117 is 3 x 3 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(538, 759) = 408342

GCD(538, 759) = ( 538 x 759 ) / 408342

GCD(538, 759) = 408342 / 408342

GCD(538, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 538, 759, 35, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 720, 86, 997
• GCD of 408, 739, 55, 198
• GCD of 789, 583, 16, 582
• GCD of 881, 220, 89, 942
• GCD of 972, 656, 76, 891

1. What is the GCD of 538, 759, 35, 117?

GCD of 538, 759, 35, 117 is 1

2. Where do I get the detailed procedure to find GCD of 538, 759, 35, 117?

You can find a detailed procedure to find GCD of 538, 759, 35, 117 on our page.

3. How to find GCD of 538, 759, 35, 117 on a calculator?

You can find the GCD of 538, 759, 35, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.