GCD of 708, 135, 299, 611 Calculator

Given Input numbers are 708, 135, 299, 611

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 708, 135, 299, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 135, 299, 611 is 1.

Therefore, GCD of numbers 708, 135, 299, 611 is 1

Given Input Data is 708, 135, 299, 611

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 299 is 13 x 23

Prime Factorization of 611 is 13 x 47

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(708, 135) = 31860

GCD(708, 135) = ( 708 x 135 ) / 31860

GCD(708, 135) = 95580 / 31860

GCD(708, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 299

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

LCM(3, 299) = 897

GCD(3, 299) = ( 3 x 299 ) / 897

GCD(3, 299) = 897 / 897

GCD(3, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 611

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

LCM(1, 611) = 611

GCD(1, 611) = ( 1 x 611 ) / 611

GCD(1, 611) = 611 / 611

GCD(1, 611) = 1

GCD of 708, 135, 299, 611 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 401, 760, 609
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• GCD of 210, 574, 354, 553
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• GCD of 584, 906, 952, 754

1. What is the GCD of 708, 135, 299, 611?

GCD of 708, 135, 299, 611 is 1

2. Where do I get the detailed procedure to find GCD of 708, 135, 299, 611?

You can find a detailed procedure to find GCD of 708, 135, 299, 611 on our page.

3. How to find GCD of 708, 135, 299, 611 on a calculator?

You can find the GCD of 708, 135, 299, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.