Greatest Common Factor of 3304/77, 4397/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3304/77, 4397/973

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 3304/77,4397/973

Given fractions are 3304/77,4397/973

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 3304,4397

Greatest Common Factor of Numerators i.e. GCF of 3304,4397 is 1 .

LCM of Denominators means LCM of 77,973 as per the given fractions.

LCM of 77,973 is 10703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3304,4397

GCF of Fractions 3304/77,4397/973 is 1/10703

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

Greatest Common Factor of 3304,4397 By Matching Biggest Common Factor Method

Greatest Common Factor of 3304,4397 By Matching Biggest Common Factor Method

Factors of 3304

List of positive integer factors of 3304 that divides 3304 without a remainder.

1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304

Factors of 4397

List of positive integer factors of 4397 that divides 4397 without a remainder.

1,4397

Greatest Common Factor

We found the factors 3304,4397 . The biggest common factor number is the GCF number.
So the greatest common factor 3304,4397 is 1.

Lets's calculate LCM of 77,973

7 77, 973
11, 139

∴ So the LCM of the given numbers is 7 x 11 x 139 = 10703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10703

Therefore, the GCF of Fractions 3304/77,4397/973 is 1/10703

Least Common Multiple of 77,973 with GCF Formula

Least Common Multiple of 77,973 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 77,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,973) = 7

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

GCF(77,973) x common factors =7 x 1 = 7

LCM(77,973) = ( 77 × 973 ) / 7

LCM(77,973) = 74921 / 7

LCM(77,973) = 10703


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 3304/77, 4397/973

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 3304/77, 4397/973?

Answer: GCF of Numerators as per given numbers 3304/77, 4397/973 is

GCF of Numerators i.e. for 3304,4397 is 1

LCM of denominators i.e. for 77,973 is 10703.

Thus, GCF of Fractions is 1/10703.Finally, GCF of Fractions for 3304/77, 4397/973 is 1/10703.