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GCD of 800, 150, 236 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 800, 150, 236 quickly. Get the easiest ways to solve the greatest common divisor of 800, 150, 236 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 150, 236 with Factoring?

Given Input numbers are 800, 150, 236

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (800, 150, 236) = 2.

Find GCD of 800, 150, 236 using Prime Factorization

Given numbers are 800, 150, 236

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 150 are 2 x 3 x 5 x 5

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 21

Therefore, GCD of 800, 150, 236 is 2.

Steps to Calculate GCD of 800, 150, 236 using LCM Formula

Given numbers are 800, 150, 236

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

Apply this formula for all numbers.

Step1:

LCM(800, 150) = 2400

GCD(800, 150) = ( 800 x 150 ) / 2400

= 800 / 150

= 800


Step2:

LCM(50, 236) = 5900

GCD(50, 236) = ( 50 x 236 ) / 5900

= 50 / 236

= 50


So, Greatest Common Divisor of 800, 150, 236 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 150, 236

Given numbers are 800, 150, 236
The greatest common divisor of numbers 800, 150, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 150, 236 is 2.

FAQs on GCD of 800, 150, 236 Calculator

1. What is the GCD of 800, 150, 236?

GCD of given numbers 800, 150, 236 is 2


2. How to calculate the greatest common divisor of 800, 150, 236?

We can find the highest common divisor of 800, 150, 236 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, 150, 236 i.e 2.


3. How can I use the GCD of 800, 150, 236Calculator?

Out the numbers 800, 150, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.