Where do I get the detailed procedure to find GCD of 308, 280, 126?

You can find a detailed procedure to find GCD of 308, 280, 126 on our page.

How to find GCD of 308, 280, 126 on a calculator?

You can find the GCD of 308, 280, 126 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 308, 280, 126 Calculator

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

Online GCD Calculator is useful to find the GCD of 308, 280, 126 quickly. Get the easiest ways to solve the greatest common divisor of 308, 280, 126 i.e 14 in different methods as follows.

How to Find GCD of Numbers 308, 280, 126 with Factoring?

Given Input numbers are 308, 280, 126

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (308, 280, 126) = 14.

Find GCD of 308, 280, 126 using Prime Factorization

Given numbers are 308, 280, 126

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 308, 280, 126 is 14.

Steps to Calculate GCD of 308, 280, 126 using LCM Formula

Given numbers are 308, 280, 126

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

Apply this formula for all numbers.

Step1:

LCM(308, 280) = 3080

GCD(308, 280) = ( 308 x 280 ) / 3080

= 308 / 280

= 308

Step2:

LCM(28, 126) = 252

GCD(28, 126) = ( 28 x 126 ) / 252

= 28 / 126

= 28

So, Greatest Common Divisor of 308, 280, 126 is 14

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 308, 280, 126

Given numbers are 308, 280, 126
The greatest common divisor of numbers 308, 280, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 280, 126 is 14.

FAQs on GCD of 308, 280, 126 Calculator

1. What is the GCD of 308, 280, 126?

GCD of given numbers 308, 280, 126 is 14

2. How to calculate the greatest common divisor of 308, 280, 126?

We can find the highest common divisor of 308, 280, 126 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 308, 280, 126 i.e 14.

3. How can I use the GCD of 308, 280, 126Calculator?

Out the numbers 308, 280, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.