GCD of 782, 900, 379, 498 Calculator

Given Input numbers are 782, 900, 379, 498

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 782, 900, 379, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 900, 379, 498 is 1.

Therefore, GCD of numbers 782, 900, 379, 498 is 1

Given Input Data is 782, 900, 379, 498

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 379 is 379

Prime Factorization of 498 is 2 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(782, 900) = 351900

GCD(782, 900) = ( 782 x 900 ) / 351900

GCD(782, 900) = 703800 / 351900

GCD(782, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 379

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

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

GCD(2, 379) = 758 / 758

GCD(2, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 782, 900, 379, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 914, 246, 681
• GCD of 117, 791, 560, 708
• GCD of 554, 833, 240, 519
• GCD of 681, 547, 491, 778
• GCD of 921, 572, 437, 894

1. What is the GCD of 782, 900, 379, 498?

GCD of 782, 900, 379, 498 is 1

2. Where do I get the detailed procedure to find GCD of 782, 900, 379, 498?

You can find a detailed procedure to find GCD of 782, 900, 379, 498 on our page.

3. How to find GCD of 782, 900, 379, 498 on a calculator?

You can find the GCD of 782, 900, 379, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.