GCD of 47, 108, 747, 334 Calculator

Given Input numbers are 47, 108, 747, 334

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

Divisors of 47

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

1, 47

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 47, 108, 747, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 108, 747, 334 is 1.

Therefore, GCD of numbers 47, 108, 747, 334 is 1

Given Input Data is 47, 108, 747, 334

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

Prime Factorization of 47 is 47

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 334 is 2 x 167

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(47, 108) = 5076

GCD(47, 108) = ( 47 x 108 ) / 5076

GCD(47, 108) = 5076 / 5076

GCD(47, 108) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 47, 108, 747, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 586, 255, 226
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• GCD of 59, 357, 493, 895
• GCD of 54, 887, 491, 136
• GCD of 57, 639, 897, 851

1. What is the GCD of 47, 108, 747, 334?

GCD of 47, 108, 747, 334 is 1

2. Where do I get the detailed procedure to find GCD of 47, 108, 747, 334?

You can find a detailed procedure to find GCD of 47, 108, 747, 334 on our page.

3. How to find GCD of 47, 108, 747, 334 on a calculator?

You can find the GCD of 47, 108, 747, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.