GCD of 202, 676, 714, 300 Calculator

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.

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.

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

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 921, 317, 925
• GCD of 438, 331, 702, 781
• GCD of 492, 181, 869, 230
• GCD of 280, 554, 494, 992
• GCD of 736, 663, 443, 186

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.

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.