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GCD of 884, 468, 854, 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 884, 468, 854, 702 quickly. Get the easiest ways to solve the greatest common divisor of 884, 468, 854, 702 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 884, 468, 854, 702 with Factoring?

Given Input numbers are 884, 468, 854, 702

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

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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 (884, 468, 854, 702) = 2.

Find GCD of 884, 468, 854, 702 using Prime Factorization

Given numbers are 884, 468, 854, 702

The list of prime factors of all numbers are

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 854 are 2 x 7 x 61

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

The highest common occurrence is 21

Therefore, GCD of 884, 468, 854, 702 is 2.

Steps to Calculate GCD of 884, 468, 854, 702 using LCM Formula

Given numbers are 884, 468, 854, 702

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

Apply this formula for all numbers.

Step1:

LCM(884, 468) = 7956

GCD(884, 468) = ( 884 x 468 ) / 7956

= 884 / 468

= 884


Step2:

LCM(52, 854) = 22204

GCD(52, 854) = ( 52 x 854 ) / 22204

= 52 / 854

= 52


Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2


So, Greatest Common Divisor of 884, 468, 854, 702 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 884, 468, 854, 702

Given numbers are 884, 468, 854, 702
The greatest common divisor of numbers 884, 468, 854, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 884, 468, 854, 702 is 2.

FAQs on GCD of 884, 468, 854, 702 Calculator

1. What is the GCD of 884, 468, 854, 702?

GCD of given numbers 884, 468, 854, 702 is 2


2. How to calculate the greatest common divisor of 884, 468, 854, 702?

We can find the highest common divisor of 884, 468, 854, 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 884, 468, 854, 702 i.e 2.


3. How can I use the GCD of 884, 468, 854, 702Calculator?

Out the numbers 884, 468, 854, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.