GCD of 363, 312, 802, 298 Calculator

Given Input numbers are 363, 312, 802, 298

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 802 :

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

1, 2, 401, 802

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (363, 312, 802, 298) = 1.

Given numbers are 363, 312, 802, 298

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 802 are 2 x 401

Prime factors of 298 are 2 x 149

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

Given numbers are 363, 312, 802, 298

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

Apply this formula for all numbers.

Step1:

LCM(363, 312) = 37752

GCD(363, 312) = ( 363 x 312 ) / 37752

= 363 / 312

= 363

Step2:

LCM(3, 802) = 2406

GCD(3, 802) = ( 3 x 802 ) / 2406

= 3 / 802

= 3

Step3:

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

= 1 / 298

= 1

So, Greatest Common Divisor of 363, 312, 802, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 777, 510, 641
• GCD of 775, 683, 483, 498
• GCD of 391, 380, 748, 327
• GCD of 944, 174, 591, 387
• GCD of 127, 179, 836, 424

Given numbers are 363, 312, 802, 298
The greatest common divisor of numbers 363, 312, 802, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 312, 802, 298 is 1.

1. What is the GCD of 363, 312, 802, 298?

GCD of given numbers 363, 312, 802, 298 is 1

2. How to calculate the greatest common divisor of 363, 312, 802, 298?

We can find the highest common divisor of 363, 312, 802, 298 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 363, 312, 802, 298 i.e 1.

3. How can I use the GCD of 363, 312, 802, 298Calculator?

Out the numbers 363, 312, 802, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.