GCD of 822, 951, 985 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 822, 951, 985 i.e. 1 largest integer that divides all the numbers equally.

GCD of 822, 951, 985 is 1

GCD(822, 951, 985) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 822, 951, 985 is 1

GCD(822, 951, 985) = 1

GCD of 822,951,985 Calculator

GCDof 822,951,985 is 1

Given Input numbers are 822, 951, 985

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 822, 951, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 951, 985 is 1.

Therefore, GCD of numbers 822, 951, 985 is 1

Finding GCD of 822, 951, 985 using Prime Factorization

Given Input Data is 822, 951, 985

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 951 is 3 x 317

Prime Factorization of 985 is 5 x 197

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 822, 951, 985 using LCM Formula

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(822, 951) = 260574

GCD(822, 951) = ( 822 x 951 ) / 260574

GCD(822, 951) = 781722 / 260574

GCD(822, 951) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 985

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

LCM(3, 985) = 2955

GCD(3, 985) = ( 3 x 985 ) / 2955

GCD(3, 985) = 2955 / 2955

GCD(3, 985) = 1

GCD of 822, 951, 985 is 1

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FAQs on GCD of numbers 822, 951, 985

1. What is the GCD of 822, 951, 985?

GCD of 822, 951, 985 is 1

2. Where do I get the detailed procedure to find GCD of 822, 951, 985?

You can find a detailed procedure to find GCD of 822, 951, 985 on our page.

3. How to find GCD of 822, 951, 985 on a calculator?

You can find the GCD of 822, 951, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.