Greatest Common Factor of 3044/632, 8301/9342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3044/632, 8301/9342

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 3044/632,8301/9342

Given fractions are 3044/632,8301/9342

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 3044,8301

Greatest Common Factor of Numerators i.e. GCF of 3044,8301 is 1 .

LCM of Denominators means LCM of 632,9342 as per the given fractions.

LCM of 632,9342 is 2952072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3044,8301

GCF of Fractions 3044/632,8301/9342 is 1/2952072

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

Greatest Common Factor of 3044,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 3044,8301 By Matching Biggest Common Factor Method

Factors of 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1,2,4,761,1522,3044

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 3044,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 3044,8301 is 1.

Lets's calculate LCM of 632,9342

2 632, 9342
316, 4671

∴ So the LCM of the given numbers is 2 x 316 x 4671 = 2952072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2952072

Therefore, the GCF of Fractions 3044/632,8301/9342 is 1/2952072

Least Common Multiple of 632,9342 with GCF Formula

Least Common Multiple of 632,9342 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 632,9342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,9342) = 2

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

GCF(632,9342) x common factors =2 x 1 = 2

LCM(632,9342) = ( 632 × 9342 ) / 2

LCM(632,9342) = 5904144 / 2

LCM(632,9342) = 2952072


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 3044/632, 8301/9342

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 3044/632, 8301/9342?

Answer: GCF of Numerators as per given numbers 3044/632, 8301/9342 is

GCF of Numerators i.e. for 3044,8301 is 1

LCM of denominators i.e. for 632,9342 is 2952072.

Thus, GCF of Fractions is 1/2952072.Finally, GCF of Fractions for 3044/632, 8301/9342 is 1/2952072.