Where do I get the detailed procedure to find GCD of 914, 506, 698?

You can find a detailed procedure to find GCD of 914, 506, 698 on our page.

How to find GCD of 914, 506, 698 on a calculator?

You can find the GCD of 914, 506, 698 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, 506, 698 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, 506, 698 quickly. Get the easiest ways to solve the greatest common divisor of 914, 506, 698 i.e 2 in different methods as follows.

How to Find GCD of Numbers 914, 506, 698 with Factoring?

Given Input numbers are 914, 506, 698

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (914, 506, 698) = 2.

Find GCD of 914, 506, 698 using Prime Factorization

Given numbers are 914, 506, 698

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 506 are 2 x 11 x 23

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 914, 506, 698 is 2.

Steps to Calculate GCD of 914, 506, 698 using LCM Formula

Given numbers are 914, 506, 698

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

Apply this formula for all numbers.

Step1:

LCM(914, 506) = 231242

GCD(914, 506) = ( 914 x 506 ) / 231242

= 914 / 506

= 914

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 914, 506, 698 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 914, 506, 698

Given numbers are 914, 506, 698
The greatest common divisor of numbers 914, 506, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 506, 698 is 2.

FAQs on GCD of 914, 506, 698 Calculator

1. What is the GCD of 914, 506, 698?

GCD of given numbers 914, 506, 698 is 2

2. How to calculate the greatest common divisor of 914, 506, 698?

We can find the highest common divisor of 914, 506, 698 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, 506, 698 i.e 2.

3. How can I use the GCD of 914, 506, 698Calculator?

Out the numbers 914, 506, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.