GCD of 828, 368, 800, 688 Calculator

Given Input numbers are 828, 368, 800, 688

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

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (828, 368, 800, 688) = 4.

Given numbers are 828, 368, 800, 688

The list of prime factors of all numbers are

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 828, 368, 800, 688 is 4.

Given numbers are 828, 368, 800, 688

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

Apply this formula for all numbers.

Step1:

LCM(828, 368) = 3312

GCD(828, 368) = ( 828 x 368 ) / 3312

= 828 / 368

= 828

Step2:

LCM(92, 800) = 18400

GCD(92, 800) = ( 92 x 800 ) / 18400

= 92 / 800

= 92

Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

So, Greatest Common Divisor of 828, 368, 800, 688 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 389, 882, 485
• GCD of 495, 682, 679, 340
• GCD of 664, 337, 121, 486
• GCD of 561, 530, 206, 624
• GCD of 114, 380, 464, 279

Given numbers are 828, 368, 800, 688
The greatest common divisor of numbers 828, 368, 800, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 368, 800, 688 is 4.

1. What is the GCD of 828, 368, 800, 688?

GCD of given numbers 828, 368, 800, 688 is 4

2. How to calculate the greatest common divisor of 828, 368, 800, 688?

We can find the highest common divisor of 828, 368, 800, 688 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 828, 368, 800, 688 i.e 4.

3. How can I use the GCD of 828, 368, 800, 688Calculator?

Out the numbers 828, 368, 800, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.