GCD of 318, 213, 738, 801 Calculator

Given Input numbers are 318, 213, 738, 801

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

GCD of numbers is the greatest common divisor

So, the GCD (318, 213, 738, 801) = 3.

Given numbers are 318, 213, 738, 801

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 213 are 3 x 71

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 801 are 3 x 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 318, 213, 738, 801 is 3.

Given numbers are 318, 213, 738, 801

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

Apply this formula for all numbers.

Step1:

LCM(318, 213) = 22578

GCD(318, 213) = ( 318 x 213 ) / 22578

= 318 / 213

= 318

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

= 3 / 801

= 3

So, Greatest Common Divisor of 318, 213, 738, 801 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 263, 618, 270
• GCD of 673, 312, 493, 713
• GCD of 327, 254, 631, 658
• GCD of 700, 725, 431, 731
• GCD of 674, 266, 954, 971

Given numbers are 318, 213, 738, 801
The greatest common divisor of numbers 318, 213, 738, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 213, 738, 801 is 3.

1. What is the GCD of 318, 213, 738, 801?

GCD of given numbers 318, 213, 738, 801 is 3

2. How to calculate the greatest common divisor of 318, 213, 738, 801?

We can find the highest common divisor of 318, 213, 738, 801 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 318, 213, 738, 801 i.e 3.

3. How can I use the GCD of 318, 213, 738, 801Calculator?

Out the numbers 318, 213, 738, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.