LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 202, 676, 714, 300 Calculator

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


Online GCD Calculator is useful to find the GCD of 202, 676, 714, 300 quickly. Get the easiest ways to solve the greatest common divisor of 202, 676, 714, 300 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 202, 676, 714, 300 with Factoring?

Given Input numbers are 202, 676, 714, 300

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

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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


GCD of numbers is the greatest common divisor

So, the GCD (202, 676, 714, 300) = 2.

Find GCD of 202, 676, 714, 300 using Prime Factorization

Given numbers are 202, 676, 714, 300

The list of prime factors of all numbers are

Prime factors of 202 are 2 x 101

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

Prime factors of 714 are 2 x 3 x 7 x 17

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

The highest common occurrence is 21

Therefore, GCD of 202, 676, 714, 300 is 2.

Steps to Calculate GCD of 202, 676, 714, 300 using LCM Formula

Given numbers are 202, 676, 714, 300

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

Apply this formula for all numbers.

Step1:

LCM(202, 676) = 68276

GCD(202, 676) = ( 202 x 676 ) / 68276

= 202 / 676

= 202


Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2


Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2


So, Greatest Common Divisor of 202, 676, 714, 300 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 202, 676, 714, 300

Given numbers are 202, 676, 714, 300
The greatest common divisor of numbers 202, 676, 714, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 676, 714, 300 is 2.

FAQs on GCD of 202, 676, 714, 300 Calculator

1. What is the GCD of 202, 676, 714, 300?

GCD of given numbers 202, 676, 714, 300 is 2


2. How to calculate the greatest common divisor of 202, 676, 714, 300?

We can find the highest common divisor of 202, 676, 714, 300 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 202, 676, 714, 300 i.e 2.


3. How can I use the GCD of 202, 676, 714, 300Calculator?

Out the numbers 202, 676, 714, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.