Greatest Common Factor of 4228/47, 8533/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4228/47, 8533/334

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 4228/47,8533/334

Given fractions are 4228/47,8533/334

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 4228,8533

Greatest Common Factor of Numerators i.e. GCF of 4228,8533 is 7 .

LCM of Denominators means LCM of 47,334 as per the given fractions.

LCM of 47,334 is 15698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4228,8533

GCF of Fractions 4228/47,8533/334 is 7/15698

7 4228, 8533
604, 1219

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4228,8533 By Matching Biggest Common Factor Method

Greatest Common Factor of 4228,8533 By Matching Biggest Common Factor Method

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1,2,4,7,14,28,151,302,604,1057,2114,4228

Factors of 8533

List of positive integer factors of 8533 that divides 8533 without a remainder.

1,7,23,53,161,371,1219,8533

Greatest Common Factor

We found the factors 4228,8533 . The biggest common factor number is the GCF number.
So the greatest common factor 4228,8533 is 7.

Lets's calculate LCM of 47,334

Given numbers has no common factors except 1. So, there LCM is their product i.e 15698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15698

Therefore, the GCF of Fractions 4228/47,8533/334 is 7/15698

Least Common Multiple of 47,334 with GCF Formula

Least Common Multiple of 47,334 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 47,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,334) = 1

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

GCF(47,334) x common factors =1 x 1 = 1

LCM(47,334) = ( 47 × 334 ) / 1

LCM(47,334) = 15698 / 1

LCM(47,334) = 15698


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 4228/47, 8533/334

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 4228/47, 8533/334?

Answer: GCF of Numerators as per given numbers 4228/47, 8533/334 is

GCF of Numerators i.e. for 4228,8533 is 7

LCM of denominators i.e. for 47,334 is 15698.

Thus, GCF of Fractions is 7/15698.Finally, GCF of Fractions for 4228/47, 8533/334 is 7/15698.