Where do I get the detailed procedure to find GCD of 914, 802, 72?

You can find a detailed procedure to find GCD of 914, 802, 72 on our page.

How to find GCD of 914, 802, 72 on a calculator?

You can find the GCD of 914, 802, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 914, 802, 72 Calculator

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

Online GCD Calculator is useful to find the GCD of 914, 802, 72 quickly. Get the easiest ways to solve the greatest common divisor of 914, 802, 72 i.e 2 in different methods as follows.

How to Find GCD of Numbers 914, 802, 72 with Factoring?

Given Input numbers are 914, 802, 72

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

GCD of numbers is the greatest common divisor

So, the GCD (914, 802, 72) = 2.

Find GCD of 914, 802, 72 using Prime Factorization

Given numbers are 914, 802, 72

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 802 are 2 x 401

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 914, 802, 72 is 2.

Steps to Calculate GCD of 914, 802, 72 using LCM Formula

Given numbers are 914, 802, 72

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

Apply this formula for all numbers.

Step1:

LCM(914, 802) = 366514

GCD(914, 802) = ( 914 x 802 ) / 366514

= 914 / 802

= 914

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

So, Greatest Common Divisor of 914, 802, 72 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 914, 802, 72

Given numbers are 914, 802, 72
The greatest common divisor of numbers 914, 802, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 802, 72 is 2.

FAQs on GCD of 914, 802, 72 Calculator

1. What is the GCD of 914, 802, 72?

GCD of given numbers 914, 802, 72 is 2

2. How to calculate the greatest common divisor of 914, 802, 72?

We can find the highest common divisor of 914, 802, 72 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 914, 802, 72 i.e 2.

3. How can I use the GCD of 914, 802, 72Calculator?

Out the numbers 914, 802, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.