GCD of 800, 500, 350 Calculator

Given Input numbers are 800, 500, 350

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (800, 500, 350) = 50.

Given numbers are 800, 500, 350

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 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹ x 5²

Therefore, GCD of 800, 500, 350 is 50.

Given numbers are 800, 500, 350

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

Apply this formula for all numbers.

Step1:

LCM(800, 500) = 4000

GCD(800, 500) = ( 800 x 500 ) / 4000

= 800 / 500

= 800

Step2:

LCM(100, 350) = 700

GCD(100, 350) = ( 100 x 350 ) / 700

= 100 / 350

= 100

So, Greatest Common Divisor of 800, 500, 350 is 50

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 216, 190
• GCD of 770, 754, 265
• GCD of 120, 723, 222
• GCD of 716, 643, 499
• GCD of 388, 847, 353

Given numbers are 800, 500, 350
The greatest common divisor of numbers 800, 500, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 500, 350 is 50.

1. What is the GCD of 800, 500, 350?

GCD of given numbers 800, 500, 350 is 50

2. How to calculate the greatest common divisor of 800, 500, 350?

We can find the highest common divisor of 800, 500, 350 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, 500, 350 i.e 50.

3. How can I use the GCD of 800, 500, 350Calculator?

Out the numbers 800, 500, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.