Greatest Common Factor of 284/80, 4328/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/80, 4328/692

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 284/80,4328/692

Given fractions are 284/80,4328/692

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 284,4328

Greatest Common Factor of Numerators i.e. GCF of 284,4328 is 4 .

LCM of Denominators means LCM of 80,692 as per the given fractions.

LCM of 80,692 is 13840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,4328

GCF of Fractions 284/80,4328/692 is 4/13840

2 284, 4328
2 142, 2164
71, 1082

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 284,4328 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,4328 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 4328

List of positive integer factors of 4328 that divides 4328 without a remainder.

1,2,4,8,541,1082,2164,4328

Greatest Common Factor

We found the factors 284,4328 . The biggest common factor number is the GCF number.
So the greatest common factor 284,4328 is 4.

Lets's calculate LCM of 80,692

2 80, 692
2 40, 346
20, 173

∴ So the LCM of the given numbers is 2 x 2 x 20 x 173 = 13840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13840

Therefore, the GCF of Fractions 284/80,4328/692 is 4/13840

Least Common Multiple of 80,692 with GCF Formula

Least Common Multiple of 80,692 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 80,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,692) = 4

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

GCF(80,692) x common factors =4 x 1 = 4

LCM(80,692) = ( 80 × 692 ) / 4

LCM(80,692) = 55360 / 4

LCM(80,692) = 13840


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 284/80, 4328/692

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 284/80, 4328/692?

Answer: GCF of Numerators as per given numbers 284/80, 4328/692 is

GCF of Numerators i.e. for 284,4328 is 4

LCM of denominators i.e. for 80,692 is 13840.

Thus, GCF of Fractions is 4/13840.Finally, GCF of Fractions for 284/80, 4328/692 is 4/13840.