GCD of 742, 445, 47, 117 Calculator

Given Input numbers are 742, 445, 47, 117

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 742, 445, 47, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 445, 47, 117 is 1.

Therefore, GCD of numbers 742, 445, 47, 117 is 1

Given Input Data is 742, 445, 47, 117

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 445 is 5 x 89

Prime Factorization of 47 is 47

Prime Factorization of 117 is 3 x 3 x 13

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(742, 445) = 330190

GCD(742, 445) = ( 742 x 445 ) / 330190

GCD(742, 445) = 330190 / 330190

GCD(742, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 742, 445, 47, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 292, 29, 899
• GCD of 164, 389, 21, 178
• GCD of 858, 396, 57, 655
• GCD of 630, 562, 41, 436
• GCD of 163, 625, 10, 705

1. What is the GCD of 742, 445, 47, 117?

GCD of 742, 445, 47, 117 is 1

2. Where do I get the detailed procedure to find GCD of 742, 445, 47, 117?

You can find a detailed procedure to find GCD of 742, 445, 47, 117 on our page.

3. How to find GCD of 742, 445, 47, 117 on a calculator?

You can find the GCD of 742, 445, 47, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.