GCD of 434, 166, 61, 747 Calculator

Given Input numbers are 434, 166, 61, 747

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 747

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

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 434, 166, 61, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 166, 61, 747 is 1.

Therefore, GCD of numbers 434, 166, 61, 747 is 1

Given Input Data is 434, 166, 61, 747

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 166 is 2 x 83

Prime Factorization of 61 is 61

Prime Factorization of 747 is 3 x 3 x 83

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(434, 166) = 36022

GCD(434, 166) = ( 434 x 166 ) / 36022

GCD(434, 166) = 72044 / 36022

GCD(434, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

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

GCD of 434, 166, 61, 747 is 1

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1. What is the GCD of 434, 166, 61, 747?

GCD of 434, 166, 61, 747 is 1

2. Where do I get the detailed procedure to find GCD of 434, 166, 61, 747?

You can find a detailed procedure to find GCD of 434, 166, 61, 747 on our page.

3. How to find GCD of 434, 166, 61, 747 on a calculator?

You can find the GCD of 434, 166, 61, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.