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GCD of 802, 694, 286, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 694, 286, 189 quickly. Get the easiest ways to solve the greatest common divisor of 802, 694, 286, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 694, 286, 189 with Factoring?

Given Input numbers are 802, 694, 286, 189

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (802, 694, 286, 189) = 1.

Find GCD of 802, 694, 286, 189 using Prime Factorization

Given numbers are 802, 694, 286, 189

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 694 are 2 x 347

Prime factors of 286 are 2 x 11 x 13

Prime factors of 189 are 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 802, 694, 286, 189 using LCM Formula

Given numbers are 802, 694, 286, 189

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

Apply this formula for all numbers.

Step1:

LCM(802, 694) = 278294

GCD(802, 694) = ( 802 x 694 ) / 278294

= 802 / 694

= 802


Step2:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2


Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2


So, Greatest Common Divisor of 802, 694, 286, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 694, 286, 189

Given numbers are 802, 694, 286, 189
The greatest common divisor of numbers 802, 694, 286, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 694, 286, 189 is 1.

FAQs on GCD of 802, 694, 286, 189 Calculator

1. What is the GCD of 802, 694, 286, 189?

GCD of given numbers 802, 694, 286, 189 is 1


2. How to calculate the greatest common divisor of 802, 694, 286, 189?

We can find the highest common divisor of 802, 694, 286, 189 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 802, 694, 286, 189 i.e 1.


3. How can I use the GCD of 802, 694, 286, 189Calculator?

Out the numbers 802, 694, 286, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.