GCD of 117, 760, 649, 338 Calculator

Given Input numbers are 117, 760, 649, 338

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

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 117, 760, 649, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 760, 649, 338 is 1.

Therefore, GCD of numbers 117, 760, 649, 338 is 1

Given Input Data is 117, 760, 649, 338

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 649 is 11 x 59

Prime Factorization of 338 is 2 x 13 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(117, 760) = 88920

GCD(117, 760) = ( 117 x 760 ) / 88920

GCD(117, 760) = 88920 / 88920

GCD(117, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 117, 760, 649, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 687, 258, 436
• GCD of 570, 205, 850, 325
• GCD of 290, 570, 119, 395
• GCD of 386, 253, 373, 458
• GCD of 953, 335, 634, 105

1. What is the GCD of 117, 760, 649, 338?

GCD of 117, 760, 649, 338 is 1

2. Where do I get the detailed procedure to find GCD of 117, 760, 649, 338?

You can find a detailed procedure to find GCD of 117, 760, 649, 338 on our page.

3. How to find GCD of 117, 760, 649, 338 on a calculator?

You can find the GCD of 117, 760, 649, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.