GCD of 722, 425, 86, 508 Calculator

Given Input numbers are 722, 425, 86, 508

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 722, 425, 86, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 425, 86, 508 is 1.

Therefore, GCD of numbers 722, 425, 86, 508 is 1

Given Input Data is 722, 425, 86, 508

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 86 is 2 x 43

Prime Factorization of 508 is 2 x 2 x 127

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(722, 425) = 306850

GCD(722, 425) = ( 722 x 425 ) / 306850

GCD(722, 425) = 306850 / 306850

GCD(722, 425) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 722, 425, 86, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 168, 82, 796
• GCD of 337, 897, 11, 735
• GCD of 164, 130, 21, 980
• GCD of 149, 155, 32, 553
• GCD of 650, 359, 33, 513

1. What is the GCD of 722, 425, 86, 508?

GCD of 722, 425, 86, 508 is 1

2. Where do I get the detailed procedure to find GCD of 722, 425, 86, 508?

You can find a detailed procedure to find GCD of 722, 425, 86, 508 on our page.

3. How to find GCD of 722, 425, 86, 508 on a calculator?

You can find the GCD of 722, 425, 86, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.