Greatest Common Factor of 4228/71, 3310/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4228/71, 3310/508

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 4228/71,3310/508

Given fractions are 4228/71,3310/508

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 4228,3310

Greatest Common Factor of Numerators i.e. GCF of 4228,3310 is 2 .

LCM of Denominators means LCM of 71,508 as per the given fractions.

LCM of 71,508 is 36068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4228,3310

GCF of Fractions 4228/71,3310/508 is 2/36068

2 4228, 3310
2114, 1655

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

Greatest Common Factor of 4228,3310 By Matching Biggest Common Factor Method

Greatest Common Factor of 4228,3310 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 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1,2,5,10,331,662,1655,3310

Greatest Common Factor

We found the factors 4228,3310 . The biggest common factor number is the GCF number.
So the greatest common factor 4228,3310 is 2.

Lets's calculate LCM of 71,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 36068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36068

Therefore, the GCF of Fractions 4228/71,3310/508 is 2/36068

Least Common Multiple of 71,508 with GCF Formula

Least Common Multiple of 71,508 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 71,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,508) = 1

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

GCF(71,508) x common factors =1 x 1 = 1

LCM(71,508) = ( 71 × 508 ) / 1

LCM(71,508) = 36068 / 1

LCM(71,508) = 36068


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 4228/71, 3310/508

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 4228/71, 3310/508?

Answer: GCF of Numerators as per given numbers 4228/71, 3310/508 is

GCF of Numerators i.e. for 4228,3310 is 2

LCM of denominators i.e. for 71,508 is 36068.

Thus, GCF of Fractions is 2/36068.Finally, GCF of Fractions for 4228/71, 3310/508 is 2/36068.