GCD of 378, 282, 822, 800 Calculator

Given Input numbers are 378, 282, 822, 800

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 822 :

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

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (378, 282, 822, 800) = 2.

Given numbers are 378, 282, 822, 800

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 282 are 2 x 3 x 47

Prime factors of 822 are 2 x 3 x 137

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 378, 282, 822, 800 is 2.

Given numbers are 378, 282, 822, 800

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

Apply this formula for all numbers.

Step1:

LCM(378, 282) = 17766

GCD(378, 282) = ( 378 x 282 ) / 17766

= 378 / 282

= 378

Step2:

LCM(6, 822) = 822

GCD(6, 822) = ( 6 x 822 ) / 822

= 6 / 822

= 6

Step3:

LCM(6, 800) = 2400

GCD(6, 800) = ( 6 x 800 ) / 2400

= 6 / 800

= 6

So, Greatest Common Divisor of 378, 282, 822, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 236, 776, 551
• GCD of 789, 232, 123, 862
• GCD of 210, 144, 442, 749
• GCD of 661, 102, 287, 483
• GCD of 502, 779, 509, 990

Given numbers are 378, 282, 822, 800
The greatest common divisor of numbers 378, 282, 822, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 282, 822, 800 is 2.

1. What is the GCD of 378, 282, 822, 800?

GCD of given numbers 378, 282, 822, 800 is 2

2. How to calculate the greatest common divisor of 378, 282, 822, 800?

We can find the highest common divisor of 378, 282, 822, 800 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 378, 282, 822, 800 i.e 2.

3. How can I use the GCD of 378, 282, 822, 800Calculator?

Out the numbers 378, 282, 822, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.