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GCD of 702, 676, 300, 818 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 676, 300, 818 quickly. Get the easiest ways to solve the greatest common divisor of 702, 676, 300, 818 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 676, 300, 818 with Factoring?

Given Input numbers are 702, 676, 300, 818

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

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818


GCD of numbers is the greatest common divisor

So, the GCD (702, 676, 300, 818) = 2.

Find GCD of 702, 676, 300, 818 using Prime Factorization

Given numbers are 702, 676, 300, 818

The list of prime factors of all numbers are

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

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 818 are 2 x 409

The highest common occurrence is 21

Therefore, GCD of 702, 676, 300, 818 is 2.

Steps to Calculate GCD of 702, 676, 300, 818 using LCM Formula

Given numbers are 702, 676, 300, 818

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

Apply this formula for all numbers.

Step1:

LCM(702, 676) = 18252

GCD(702, 676) = ( 702 x 676 ) / 18252

= 702 / 676

= 702


Step2:

LCM(26, 300) = 3900

GCD(26, 300) = ( 26 x 300 ) / 3900

= 26 / 300

= 26


Step3:

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

= 2 / 818

= 2


So, Greatest Common Divisor of 702, 676, 300, 818 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 676, 300, 818

Given numbers are 702, 676, 300, 818
The greatest common divisor of numbers 702, 676, 300, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 676, 300, 818 is 2.

FAQs on GCD of 702, 676, 300, 818 Calculator

1. What is the GCD of 702, 676, 300, 818?

GCD of given numbers 702, 676, 300, 818 is 2


2. How to calculate the greatest common divisor of 702, 676, 300, 818?

We can find the highest common divisor of 702, 676, 300, 818 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 702, 676, 300, 818 i.e 2.


3. How can I use the GCD of 702, 676, 300, 818Calculator?

Out the numbers 702, 676, 300, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.