Greatest Common Factor of 7267/228, 8336/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7267/228, 8336/428

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 7267/228,8336/428

Given fractions are 7267/228,8336/428

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 7267,8336

Greatest Common Factor of Numerators i.e. GCF of 7267,8336 is 1 .

LCM of Denominators means LCM of 228,428 as per the given fractions.

LCM of 228,428 is 24396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7267,8336

GCF of Fractions 7267/228,8336/428 is 1/24396

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7267,8336 By Matching Biggest Common Factor Method

Greatest Common Factor of 7267,8336 By Matching Biggest Common Factor Method

Factors of 7267

List of positive integer factors of 7267 that divides 7267 without a remainder.

1,13,43,169,559,7267

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1,2,4,8,16,521,1042,2084,4168,8336

Greatest Common Factor

We found the factors 7267,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,8336 is 1.

Lets's calculate LCM of 228,428

2 228, 428
2 114, 214
57, 107

∴ So the LCM of the given numbers is 2 x 2 x 57 x 107 = 24396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24396

Therefore, the GCF of Fractions 7267/228,8336/428 is 1/24396

Least Common Multiple of 228,428 with GCF Formula

Least Common Multiple of 228,428 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 228,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,428) = 4

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

GCF(228,428) x common factors =4 x 1 = 4

LCM(228,428) = ( 228 × 428 ) / 4

LCM(228,428) = 97584 / 4

LCM(228,428) = 24396


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 7267/228, 8336/428

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 7267/228, 8336/428?

Answer: GCF of Numerators as per given numbers 7267/228, 8336/428 is

GCF of Numerators i.e. for 7267,8336 is 1

LCM of denominators i.e. for 228,428 is 24396.

Thus, GCF of Fractions is 1/24396.Finally, GCF of Fractions for 7267/228, 8336/428 is 1/24396.