Where do I get the detailed procedure to find GCD of 748, 902, 754?

You can find a detailed procedure to find GCD of 748, 902, 754 on our page.

How to find GCD of 748, 902, 754 on a calculator?

You can find the GCD of 748, 902, 754 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 748, 902, 754 Calculator

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

Online GCD Calculator is useful to find the GCD of 748, 902, 754 quickly. Get the easiest ways to solve the greatest common divisor of 748, 902, 754 i.e 2 in different methods as follows.

How to Find GCD of Numbers 748, 902, 754 with Factoring?

Given Input numbers are 748, 902, 754

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 754 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (748, 902, 754) = 2.

Find GCD of 748, 902, 754 using Prime Factorization

Given numbers are 748, 902, 754

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 902 are 2 x 11 x 41

Prime factors of 754 are 2 x 13 x 29

The highest common occurrence is 2¹

Therefore, GCD of 748, 902, 754 is 2.

Steps to Calculate GCD of 748, 902, 754 using LCM Formula

Given numbers are 748, 902, 754

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

Apply this formula for all numbers.

Step1:

LCM(748, 902) = 30668

GCD(748, 902) = ( 748 x 902 ) / 30668

= 748 / 902

= 748

Step2:

LCM(22, 754) = 8294

GCD(22, 754) = ( 22 x 754 ) / 8294

= 22 / 754

= 22

So, Greatest Common Divisor of 748, 902, 754 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 748, 902, 754

Given numbers are 748, 902, 754
The greatest common divisor of numbers 748, 902, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 902, 754 is 2.

FAQs on GCD of 748, 902, 754 Calculator

1. What is the GCD of 748, 902, 754?

GCD of given numbers 748, 902, 754 is 2

2. How to calculate the greatest common divisor of 748, 902, 754?

We can find the highest common divisor of 748, 902, 754 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 748, 902, 754 i.e 2.

3. How can I use the GCD of 748, 902, 754Calculator?

Out the numbers 748, 902, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.