GCD of 703, 117, 412, 749 Calculator

Given Input numbers are 703, 117, 412, 749

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 117

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

1, 3, 9, 13, 39, 117

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 703, 117, 412, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 117, 412, 749 is 1.

Therefore, GCD of numbers 703, 117, 412, 749 is 1

Given Input Data is 703, 117, 412, 749

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 749 is 7 x 107

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, 117) = 82251

GCD(703, 117) = ( 703 x 117 ) / 82251

GCD(703, 117) = 82251 / 82251

GCD(703, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 703, 117, 412, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 191, 375, 337
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• GCD of 531, 852, 179, 883

1. What is the GCD of 703, 117, 412, 749?

GCD of 703, 117, 412, 749 is 1

2. Where do I get the detailed procedure to find GCD of 703, 117, 412, 749?

You can find a detailed procedure to find GCD of 703, 117, 412, 749 on our page.

3. How to find GCD of 703, 117, 412, 749 on a calculator?

You can find the GCD of 703, 117, 412, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.