GCD of 800, 148, 828 Calculator

Given Input numbers are 800, 148, 828

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (800, 148, 828) = 4.

Given numbers are 800, 148, 828

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 800, 148, 828 is 4.

Given numbers are 800, 148, 828

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

Apply this formula for all numbers.

Step1:

LCM(800, 148) = 29600

GCD(800, 148) = ( 800 x 148 ) / 29600

= 800 / 148

= 800

Step2:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

So, Greatest Common Divisor of 800, 148, 828 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 837, 299
• GCD of 666, 638, 551
• GCD of 388, 755, 828
• GCD of 167, 876, 809
• GCD of 109, 516, 941

Given numbers are 800, 148, 828
The greatest common divisor of numbers 800, 148, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 148, 828 is 4.

1. What is the GCD of 800, 148, 828?

GCD of given numbers 800, 148, 828 is 4

2. How to calculate the greatest common divisor of 800, 148, 828?

We can find the highest common divisor of 800, 148, 828 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 800, 148, 828 i.e 4.

3. How can I use the GCD of 800, 148, 828Calculator?

Out the numbers 800, 148, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.