Where do I get the detailed procedure to find GCD of 588, 182, 154?

You can find a detailed procedure to find GCD of 588, 182, 154 on our page.

How to find GCD of 588, 182, 154 on a calculator?

You can find the GCD of 588, 182, 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 588, 182, 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 588, 182, 154 quickly. Get the easiest ways to solve the greatest common divisor of 588, 182, 154 i.e 14 in different methods as follows.

How to Find GCD of Numbers 588, 182, 154 with Factoring?

Given Input numbers are 588, 182, 154

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

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 (588, 182, 154) = 14.

Find GCD of 588, 182, 154 using Prime Factorization

Given numbers are 588, 182, 154

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 182 are 2 x 7 x 13

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 588, 182, 154 is 14.

Steps to Calculate GCD of 588, 182, 154 using LCM Formula

Given numbers are 588, 182, 154

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

Apply this formula for all numbers.

Step1:

LCM(588, 182) = 7644

GCD(588, 182) = ( 588 x 182 ) / 7644

= 588 / 182

= 588

Step2:

LCM(14, 154) = 154

GCD(14, 154) = ( 14 x 154 ) / 154

= 14 / 154

= 14

So, Greatest Common Divisor of 588, 182, 154 is 14

GCD of Numbers Calculation Examples

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Greatest Common Divisor of 588, 182, 154

Given numbers are 588, 182, 154
The greatest common divisor of numbers 588, 182, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 182, 154 is 14.

FAQs on GCD of 588, 182, 154 Calculator

1. What is the GCD of 588, 182, 154?

GCD of given numbers 588, 182, 154 is 14

2. How to calculate the greatest common divisor of 588, 182, 154?

We can find the highest common divisor of 588, 182, 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 588, 182, 154 i.e 14.

3. How can I use the GCD of 588, 182, 154Calculator?

Out the numbers 588, 182, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.