GCD of 774, 460, 172, 139 Calculator

Given Input numbers are 774, 460, 172, 139

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 774, 460, 172, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 460, 172, 139 is 1.

Therefore, GCD of numbers 774, 460, 172, 139 is 1

Given Input Data is 774, 460, 172, 139

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 139 is 139

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(774, 460) = 178020

GCD(774, 460) = ( 774 x 460 ) / 178020

GCD(774, 460) = 356040 / 178020

GCD(774, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 139

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

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

GCD(2, 139) = 278 / 278

GCD(2, 139) = 1

GCD of 774, 460, 172, 139 is 1

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• GCD of 284, 692, 746, 499
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1. What is the GCD of 774, 460, 172, 139?

GCD of 774, 460, 172, 139 is 1

2. Where do I get the detailed procedure to find GCD of 774, 460, 172, 139?

You can find a detailed procedure to find GCD of 774, 460, 172, 139 on our page.

3. How to find GCD of 774, 460, 172, 139 on a calculator?

You can find the GCD of 774, 460, 172, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.