GCD of 820, 762, 998, 829 Calculator

Given Input numbers are 820, 762, 998, 829

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 820, 762, 998, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 762, 998, 829 is 1.

Therefore, GCD of numbers 820, 762, 998, 829 is 1

Given Input Data is 820, 762, 998, 829

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 998 is 2 x 499

Prime Factorization of 829 is 829

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(820, 762) = 312420

GCD(820, 762) = ( 820 x 762 ) / 312420

GCD(820, 762) = 624840 / 312420

GCD(820, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 820, 762, 998, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 759, 824, 267
• GCD of 128, 803, 877, 147
• GCD of 594, 992, 179, 995
• GCD of 490, 827, 654, 121
• GCD of 542, 954, 941, 354

1. What is the GCD of 820, 762, 998, 829?

GCD of 820, 762, 998, 829 is 1

2. Where do I get the detailed procedure to find GCD of 820, 762, 998, 829?

You can find a detailed procedure to find GCD of 820, 762, 998, 829 on our page.

3. How to find GCD of 820, 762, 998, 829 on a calculator?

You can find the GCD of 820, 762, 998, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.