Greatest Common Factor of 4426/11, 5376/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4426/11, 5376/434

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 4426/11,5376/434

Given fractions are 4426/11,5376/434

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 4426,5376

Greatest Common Factor of Numerators i.e. GCF of 4426,5376 is 2 .

LCM of Denominators means LCM of 11,434 as per the given fractions.

LCM of 11,434 is 4774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4426,5376

GCF of Fractions 4426/11,5376/434 is 2/4774

2 4426, 5376
2213, 2688

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

Greatest Common Factor of 4426,5376 By Matching Biggest Common Factor Method

Greatest Common Factor of 4426,5376 By Matching Biggest Common Factor Method

Factors of 4426

List of positive integer factors of 4426 that divides 4426 without a remainder.

1,2,2213,4426

Factors of 5376

List of positive integer factors of 5376 that divides 5376 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376

Greatest Common Factor

We found the factors 4426,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,5376 is 2.

Lets's calculate LCM of 11,434

Given numbers has no common factors except 1. So, there LCM is their product i.e 4774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4774

Therefore, the GCF of Fractions 4426/11,5376/434 is 2/4774

Least Common Multiple of 11,434 with GCF Formula

Least Common Multiple of 11,434 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 11,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,434) = 1

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

GCF(11,434) x common factors =1 x 1 = 1

LCM(11,434) = ( 11 × 434 ) / 1

LCM(11,434) = 4774 / 1

LCM(11,434) = 4774


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 4426/11, 5376/434

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 4426/11, 5376/434?

Answer: GCF of Numerators as per given numbers 4426/11, 5376/434 is

GCF of Numerators i.e. for 4426,5376 is 2

LCM of denominators i.e. for 11,434 is 4774.

Thus, GCF of Fractions is 2/4774.Finally, GCF of Fractions for 4426/11, 5376/434 is 2/4774.