Greatest Common Factor of 3203/852, 8467/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3203/852, 8467/278

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 3203/852,8467/278

Given fractions are 3203/852,8467/278

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 3203,8467

Greatest Common Factor of Numerators i.e. GCF of 3203,8467 is 1 .

LCM of Denominators means LCM of 852,278 as per the given fractions.

LCM of 852,278 is 118428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3203,8467

GCF of Fractions 3203/852,8467/278 is 1/118428

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

Greatest Common Factor of 3203,8467 By Matching Biggest Common Factor Method

Greatest Common Factor of 3203,8467 By Matching Biggest Common Factor Method

Factors of 3203

List of positive integer factors of 3203 that divides 3203 without a remainder.

1,3203

Factors of 8467

List of positive integer factors of 8467 that divides 8467 without a remainder.

1,8467

Greatest Common Factor

We found the factors 3203,8467 . The biggest common factor number is the GCF number.
So the greatest common factor 3203,8467 is 1.

Lets's calculate LCM of 852,278

2 852, 278
426, 139

∴ So the LCM of the given numbers is 2 x 426 x 139 = 118428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118428

Therefore, the GCF of Fractions 3203/852,8467/278 is 1/118428

Least Common Multiple of 852,278 with GCF Formula

Least Common Multiple of 852,278 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 852,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,278) = 2

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

GCF(852,278) x common factors =2 x 1 = 2

LCM(852,278) = ( 852 × 278 ) / 2

LCM(852,278) = 236856 / 2

LCM(852,278) = 118428


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 3203/852, 8467/278

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 3203/852, 8467/278?

Answer: GCF of Numerators as per given numbers 3203/852, 8467/278 is

GCF of Numerators i.e. for 3203,8467 is 1

LCM of denominators i.e. for 852,278 is 118428.

Thus, GCF of Fractions is 1/118428.Finally, GCF of Fractions for 3203/852, 8467/278 is 1/118428.