GCD of 822, 300, 248 Calculator

Given Input numbers are 822, 300, 248

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

GCD of numbers is the greatest common divisor

So, the GCD (822, 300, 248) = 2.

Given numbers are 822, 300, 248

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

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

Prime factors of 248 are 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 822, 300, 248 is 2.

Given numbers are 822, 300, 248

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

Apply this formula for all numbers.

Step1:

LCM(822, 300) = 41100

GCD(822, 300) = ( 822 x 300 ) / 41100

= 822 / 300

= 822

Step2:

LCM(6, 248) = 744

GCD(6, 248) = ( 6 x 248 ) / 744

= 6 / 248

= 6

So, Greatest Common Divisor of 822, 300, 248 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 682, 288
• GCD of 109, 220, 562
• GCD of 350, 870, 799
• GCD of 393, 965, 959
• GCD of 656, 183, 670

Given numbers are 822, 300, 248
The greatest common divisor of numbers 822, 300, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 300, 248 is 2.

1. What is the GCD of 822, 300, 248?

GCD of given numbers 822, 300, 248 is 2

2. How to calculate the greatest common divisor of 822, 300, 248?

We can find the highest common divisor of 822, 300, 248 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 822, 300, 248 i.e 2.

3. How can I use the GCD of 822, 300, 248Calculator?

Out the numbers 822, 300, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.