GCD of 117, 708, 53, 141 Calculator

Given Input numbers are 117, 708, 53, 141

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 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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 117, 708, 53, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 708, 53, 141 is 1.

Therefore, GCD of numbers 117, 708, 53, 141 is 1

Given Input Data is 117, 708, 53, 141

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 53 is 53

Prime Factorization of 141 is 3 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(117, 708) = 27612

GCD(117, 708) = ( 117 x 708 ) / 27612

GCD(117, 708) = 82836 / 27612

GCD(117, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 117, 708, 53, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 635, 35, 277
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• GCD of 877, 625, 28, 770

1. What is the GCD of 117, 708, 53, 141?

GCD of 117, 708, 53, 141 is 1

2. Where do I get the detailed procedure to find GCD of 117, 708, 53, 141?

You can find a detailed procedure to find GCD of 117, 708, 53, 141 on our page.

3. How to find GCD of 117, 708, 53, 141 on a calculator?

You can find the GCD of 117, 708, 53, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.