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GCD of 801, 336, 714, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 801, 336, 714, 150 quickly. Get the easiest ways to solve the greatest common divisor of 801, 336, 714, 150 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 801, 336, 714, 150 with Factoring?

Given Input numbers are 801, 336, 714, 150

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

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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


GCD of numbers is the greatest common divisor

So, the GCD (801, 336, 714, 150) = 3.

Find GCD of 801, 336, 714, 150 using Prime Factorization

Given numbers are 801, 336, 714, 150

The list of prime factors of all numbers are

Prime factors of 801 are 3 x 3 x 89

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 31

Therefore, GCD of 801, 336, 714, 150 is 3.

Steps to Calculate GCD of 801, 336, 714, 150 using LCM Formula

Given numbers are 801, 336, 714, 150

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

Apply this formula for all numbers.

Step1:

LCM(801, 336) = 89712

GCD(801, 336) = ( 801 x 336 ) / 89712

= 801 / 336

= 801


Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3


Step3:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3


So, Greatest Common Divisor of 801, 336, 714, 150 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 801, 336, 714, 150

Given numbers are 801, 336, 714, 150
The greatest common divisor of numbers 801, 336, 714, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 801, 336, 714, 150 is 3.

FAQs on GCD of 801, 336, 714, 150 Calculator

1. What is the GCD of 801, 336, 714, 150?

GCD of given numbers 801, 336, 714, 150 is 3


2. How to calculate the greatest common divisor of 801, 336, 714, 150?

We can find the highest common divisor of 801, 336, 714, 150 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 801, 336, 714, 150 i.e 3.


3. How can I use the GCD of 801, 336, 714, 150Calculator?

Out the numbers 801, 336, 714, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.