GCD of 703, 137, 76, 216 Calculator

Given Input numbers are 703, 137, 76, 216

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 703, 137, 76, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 137, 76, 216 is 1.

Therefore, GCD of numbers 703, 137, 76, 216 is 1

Given Input Data is 703, 137, 76, 216

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 137 is 137

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(703, 137) = 96311

GCD(703, 137) = ( 703 x 137 ) / 96311

GCD(703, 137) = 96311 / 96311

GCD(703, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 703, 137, 76, 216 is 1

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1. What is the GCD of 703, 137, 76, 216?

GCD of 703, 137, 76, 216 is 1

2. Where do I get the detailed procedure to find GCD of 703, 137, 76, 216?

You can find a detailed procedure to find GCD of 703, 137, 76, 216 on our page.

3. How to find GCD of 703, 137, 76, 216 on a calculator?

You can find the GCD of 703, 137, 76, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.