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GCD of 822, 633, 221, 702 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 822, 633, 221, 702 quickly. Get the easiest ways to solve the greatest common divisor of 822, 633, 221, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 633, 221, 702 with Factoring?

Given Input numbers are 822, 633, 221, 702

In the factoring method, we have to find the divisors of all numbers

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

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

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (822, 633, 221, 702) = 1.

Find GCD of 822, 633, 221, 702 using Prime Factorization

Given numbers are 822, 633, 221, 702

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 633 are 3 x 211

Prime factors of 221 are 13 x 17

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 822, 633, 221, 702 using LCM Formula

Given numbers are 822, 633, 221, 702

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(822, 633) = 173442

GCD(822, 633) = ( 822 x 633 ) / 173442

= 822 / 633

= 822


Step2:

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

= 3 / 221

= 3


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 822, 633, 221, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 633, 221, 702

Given numbers are 822, 633, 221, 702
The greatest common divisor of numbers 822, 633, 221, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 633, 221, 702 is 1.

FAQs on GCD of 822, 633, 221, 702 Calculator

1. What is the GCD of 822, 633, 221, 702?

GCD of given numbers 822, 633, 221, 702 is 1


2. How to calculate the greatest common divisor of 822, 633, 221, 702?

We can find the highest common divisor of 822, 633, 221, 702 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 822, 633, 221, 702 i.e 1.


3. How can I use the GCD of 822, 633, 221, 702Calculator?

Out the numbers 822, 633, 221, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.