GCD of 800, 196, 234 Calculator

Given Input numbers are 800, 196, 234

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (800, 196, 234) = 2.

Given numbers are 800, 196, 234

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 196 are 2 x 2 x 7 x 7

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 800, 196, 234 is 2.

Given numbers are 800, 196, 234

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

Apply this formula for all numbers.

Step1:

LCM(800, 196) = 39200

GCD(800, 196) = ( 800 x 196 ) / 39200

= 800 / 196

= 800

Step2:

LCM(4, 234) = 468

GCD(4, 234) = ( 4 x 234 ) / 468

= 4 / 234

= 4

So, Greatest Common Divisor of 800, 196, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 855, 256
• GCD of 648, 873, 150
• GCD of 421, 487, 345
• GCD of 617, 738, 732
• GCD of 698, 686, 456

Given numbers are 800, 196, 234
The greatest common divisor of numbers 800, 196, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 196, 234 is 2.

1. What is the GCD of 800, 196, 234?

GCD of given numbers 800, 196, 234 is 2

2. How to calculate the greatest common divisor of 800, 196, 234?

We can find the highest common divisor of 800, 196, 234 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, 196, 234 i.e 2.

3. How can I use the GCD of 800, 196, 234Calculator?

Out the numbers 800, 196, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.