Greatest Common Factor of 214/28, 908/8314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 214/28, 908/8314

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 214/28,908/8314

Given fractions are 214/28,908/8314

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 214,908

Greatest Common Factor of Numerators i.e. GCF of 214,908 is 2 .

LCM of Denominators means LCM of 28,8314 as per the given fractions.

LCM of 28,8314 is 116396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 214,908

GCF of Fractions 214/28,908/8314 is 2/116396

2 214, 908
107, 454

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 214,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,908 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 214,908 . The biggest common factor number is the GCF number.
So the greatest common factor 214,908 is 2.

Lets's calculate LCM of 28,8314

2 28, 8314
14, 4157

∴ So the LCM of the given numbers is 2 x 14 x 4157 = 116396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116396

Therefore, the GCF of Fractions 214/28,908/8314 is 2/116396

Least Common Multiple of 28,8314 with GCF Formula

Least Common Multiple of 28,8314 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,8314) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(28,8314) x common factors =2 x 1 = 2

LCM(28,8314) = ( 28 × 8314 ) / 2

LCM(28,8314) = 232792 / 2

LCM(28,8314) = 116396


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 214/28, 908/8314

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 214/28, 908/8314?

Answer: GCF of Numerators as per given numbers 214/28, 908/8314 is

GCF of Numerators i.e. for 214,908 is 2

LCM of denominators i.e. for 28,8314 is 116396.

Thus, GCF of Fractions is 2/116396.Finally, GCF of Fractions for 214/28, 908/8314 is 2/116396.