GCD of 345, 801, 300 Calculator

Given Input numbers are 345, 801, 300

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 801 :

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

1, 3, 9, 89, 267, 801

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 (345, 801, 300) = 3.

Given numbers are 345, 801, 300

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 801 are 3 x 3 x 89

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

The highest common occurrence is 3¹

Therefore, GCD of 345, 801, 300 is 3.

Given numbers are 345, 801, 300

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

Apply this formula for all numbers.

Step1:

LCM(345, 801) = 92115

GCD(345, 801) = ( 345 x 801 ) / 92115

= 345 / 801

= 345

Step2:

LCM(3, 300) = 300

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

= 3 / 300

= 3

So, Greatest Common Divisor of 345, 801, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 657, 817
• GCD of 221, 277, 400
• GCD of 771, 480, 792
• GCD of 435, 836, 680
• GCD of 235, 669, 934

Given numbers are 345, 801, 300
The greatest common divisor of numbers 345, 801, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 801, 300 is 3.

1. What is the GCD of 345, 801, 300?

GCD of given numbers 345, 801, 300 is 3

2. How to calculate the greatest common divisor of 345, 801, 300?

We can find the highest common divisor of 345, 801, 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 345, 801, 300 i.e 3.

3. How can I use the GCD of 345, 801, 300Calculator?

Out the numbers 345, 801, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.