Where do I get the detailed procedure to find GCD of 748, 583, 154?

You can find a detailed procedure to find GCD of 748, 583, 154 on our page.

How to find GCD of 748, 583, 154 on a calculator?

You can find the GCD of 748, 583, 154 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, 583, 154 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, 583, 154 quickly. Get the easiest ways to solve the greatest common divisor of 748, 583, 154 i.e 11 in different methods as follows.

How to Find GCD of Numbers 748, 583, 154 with Factoring?

Given Input numbers are 748, 583, 154

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 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (748, 583, 154) = 11.

Find GCD of 748, 583, 154 using Prime Factorization

Given numbers are 748, 583, 154

The list of prime factors of all numbers are

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

Prime factors of 583 are 11 x 53

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 11¹

Therefore, GCD of 748, 583, 154 is 11.

Steps to Calculate GCD of 748, 583, 154 using LCM Formula

Given numbers are 748, 583, 154

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

Apply this formula for all numbers.

Step1:

LCM(748, 583) = 39644

GCD(748, 583) = ( 748 x 583 ) / 39644

= 748 / 583

= 748

Step2:

LCM(11, 154) = 154

GCD(11, 154) = ( 11 x 154 ) / 154

= 11 / 154

= 11

So, Greatest Common Divisor of 748, 583, 154 is 11

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 748, 583, 154

Given numbers are 748, 583, 154
The greatest common divisor of numbers 748, 583, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 583, 154 is 11.

FAQs on GCD of 748, 583, 154 Calculator

1. What is the GCD of 748, 583, 154?

GCD of given numbers 748, 583, 154 is 11

2. How to calculate the greatest common divisor of 748, 583, 154?

We can find the highest common divisor of 748, 583, 154 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, 583, 154 i.e 11.

3. How can I use the GCD of 748, 583, 154Calculator?

Out the numbers 748, 583, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.