GCD of 319, 625, 769, 421 Calculator

Given Input numbers are 319, 625, 769, 421

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 319, 625, 769, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 625, 769, 421 is 1.

Therefore, GCD of numbers 319, 625, 769, 421 is 1

Given Input Data is 319, 625, 769, 421

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 769 is 769

Prime Factorization of 421 is 421

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(319, 625) = 199375

GCD(319, 625) = ( 319 x 625 ) / 199375

GCD(319, 625) = 199375 / 199375

GCD(319, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 319, 625, 769, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 901, 129, 199
• GCD of 672, 671, 840, 440
• GCD of 608, 659, 489, 282
• GCD of 327, 816, 632, 511
• GCD of 845, 110, 757, 863

1. What is the GCD of 319, 625, 769, 421?

GCD of 319, 625, 769, 421 is 1

2. Where do I get the detailed procedure to find GCD of 319, 625, 769, 421?

You can find a detailed procedure to find GCD of 319, 625, 769, 421 on our page.

3. How to find GCD of 319, 625, 769, 421 on a calculator?

You can find the GCD of 319, 625, 769, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.