GCD of 438, 681, 300, 588 Calculator

Given Input numbers are 438, 681, 300, 588

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (438, 681, 300, 588) = 3.

Given numbers are 438, 681, 300, 588

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 681 are 3 x 227

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 438, 681, 300, 588 is 3.

Given numbers are 438, 681, 300, 588

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

Apply this formula for all numbers.

Step1:

LCM(438, 681) = 99426

GCD(438, 681) = ( 438 x 681 ) / 99426

= 438 / 681

= 438

Step2:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 438, 681, 300, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 352, 513, 736
• GCD of 578, 485, 195, 355
• GCD of 932, 207, 301, 791
• GCD of 615, 504, 370, 491
• GCD of 896, 488, 475, 130

Given numbers are 438, 681, 300, 588
The greatest common divisor of numbers 438, 681, 300, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 681, 300, 588 is 3.

1. What is the GCD of 438, 681, 300, 588?

GCD of given numbers 438, 681, 300, 588 is 3

2. How to calculate the greatest common divisor of 438, 681, 300, 588?

We can find the highest common divisor of 438, 681, 300, 588 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 438, 681, 300, 588 i.e 3.

3. How can I use the GCD of 438, 681, 300, 588Calculator?

Out the numbers 438, 681, 300, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.