Where do I get the detailed procedure to find GCD of 754, 424, 698?

You can find a detailed procedure to find GCD of 754, 424, 698 on our page.

How to find GCD of 754, 424, 698 on a calculator?

You can find the GCD of 754, 424, 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 754, 424, 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 754, 424, 698 quickly. Get the easiest ways to solve the greatest common divisor of 754, 424, 698 i.e 2 in different methods as follows.

How to Find GCD of Numbers 754, 424, 698 with Factoring?

Given Input numbers are 754, 424, 698

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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 (754, 424, 698) = 2.

Find GCD of 754, 424, 698 using Prime Factorization

Given numbers are 754, 424, 698

The list of prime factors of all numbers are

Prime factors of 754 are 2 x 13 x 29

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 754, 424, 698 is 2.

Steps to Calculate GCD of 754, 424, 698 using LCM Formula

Given numbers are 754, 424, 698

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

Apply this formula for all numbers.

Step1:

LCM(754, 424) = 159848

GCD(754, 424) = ( 754 x 424 ) / 159848

= 754 / 424

= 754

Step2:

LCM(2, 698) = 698

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

= 2 / 698

= 2

So, Greatest Common Divisor of 754, 424, 698 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 754, 424, 698

Given numbers are 754, 424, 698
The greatest common divisor of numbers 754, 424, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 424, 698 is 2.

FAQs on GCD of 754, 424, 698 Calculator

1. What is the GCD of 754, 424, 698?

GCD of given numbers 754, 424, 698 is 2

2. How to calculate the greatest common divisor of 754, 424, 698?

We can find the highest common divisor of 754, 424, 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 754, 424, 698 i.e 2.

3. How can I use the GCD of 754, 424, 698Calculator?

Out the numbers 754, 424, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.