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GCD of 822, 169, 970, 343 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, 169, 970, 343 quickly. Get the easiest ways to solve the greatest common divisor of 822, 169, 970, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 169, 970, 343 with Factoring?

Given Input numbers are 822, 169, 970, 343

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 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (822, 169, 970, 343) = 1.

Find GCD of 822, 169, 970, 343 using Prime Factorization

Given numbers are 822, 169, 970, 343

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 169 are 13 x 13

Prime factors of 970 are 2 x 5 x 97

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 822, 169, 970, 343 using LCM Formula

Given numbers are 822, 169, 970, 343

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

Apply this formula for all numbers.

Step1:

LCM(822, 169) = 138918

GCD(822, 169) = ( 822 x 169 ) / 138918

= 822 / 169

= 822


Step2:

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

= 1 / 970

= 1


Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1


So, Greatest Common Divisor of 822, 169, 970, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 169, 970, 343

Given numbers are 822, 169, 970, 343
The greatest common divisor of numbers 822, 169, 970, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 169, 970, 343 is 1.

FAQs on GCD of 822, 169, 970, 343 Calculator

1. What is the GCD of 822, 169, 970, 343?

GCD of given numbers 822, 169, 970, 343 is 1


2. How to calculate the greatest common divisor of 822, 169, 970, 343?

We can find the highest common divisor of 822, 169, 970, 343 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, 169, 970, 343 i.e 1.


3. How can I use the GCD of 822, 169, 970, 343Calculator?

Out the numbers 822, 169, 970, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.