GCD of 460, 141, 25, 779 Calculator

Given Input numbers are 460, 141, 25, 779

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

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 460, 141, 25, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 141, 25, 779 is 1.

Therefore, GCD of numbers 460, 141, 25, 779 is 1

Given Input Data is 460, 141, 25, 779

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

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 25 is 5 x 5

Prime Factorization of 779 is 19 x 41

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(460, 141) = 64860

GCD(460, 141) = ( 460 x 141 ) / 64860

GCD(460, 141) = 64860 / 64860

GCD(460, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 460, 141, 25, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 750, 82, 584
• GCD of 705, 640, 92, 845
• GCD of 467, 633, 43, 589
• GCD of 143, 697, 57, 850
• GCD of 791, 856, 88, 462

1. What is the GCD of 460, 141, 25, 779?

GCD of 460, 141, 25, 779 is 1

2. Where do I get the detailed procedure to find GCD of 460, 141, 25, 779?

You can find a detailed procedure to find GCD of 460, 141, 25, 779 on our page.

3. How to find GCD of 460, 141, 25, 779 on a calculator?

You can find the GCD of 460, 141, 25, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.