GCD of 138, 528, 35, 311 Calculator

Given Input numbers are 138, 528, 35, 311

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 35

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

1, 5, 7, 35

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 138, 528, 35, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 528, 35, 311 is 1.

Therefore, GCD of numbers 138, 528, 35, 311 is 1

Given Input Data is 138, 528, 35, 311

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 35 is 5 x 7

Prime Factorization of 311 is 311

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(138, 528) = 12144

GCD(138, 528) = ( 138 x 528 ) / 12144

GCD(138, 528) = 72864 / 12144

GCD(138, 528) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 35

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

LCM(6, 35) = 210

GCD(6, 35) = ( 6 x 35 ) / 210

GCD(6, 35) = 210 / 210

GCD(6, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 138, 528, 35, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 252, 44, 408
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• GCD of 423, 912, 89, 781

1. What is the GCD of 138, 528, 35, 311?

GCD of 138, 528, 35, 311 is 1

2. Where do I get the detailed procedure to find GCD of 138, 528, 35, 311?

You can find a detailed procedure to find GCD of 138, 528, 35, 311 on our page.

3. How to find GCD of 138, 528, 35, 311 on a calculator?

You can find the GCD of 138, 528, 35, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.