Greatest Common Factor of 8031/448, 6975/3633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8031/448, 6975/3633

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 8031/448,6975/3633

Given fractions are 8031/448,6975/3633

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 8031,6975

Greatest Common Factor of Numerators i.e. GCF of 8031,6975 is 3 .

LCM of Denominators means LCM of 448,3633 as per the given fractions.

LCM of 448,3633 is 232512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8031,6975

GCF of Fractions 8031/448,6975/3633 is 3/232512

3 8031, 6975
2677, 2325

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8031,6975 By Matching Biggest Common Factor Method

Greatest Common Factor of 8031,6975 By Matching Biggest Common Factor Method

Factors of 8031

List of positive integer factors of 8031 that divides 8031 without a remainder.

1,3,2677,8031

Factors of 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975

Greatest Common Factor

We found the factors 8031,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 8031,6975 is 3.

Lets's calculate LCM of 448,3633

7 448, 3633
64, 519

∴ So the LCM of the given numbers is 7 x 64 x 519 = 232512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/232512

Therefore, the GCF of Fractions 8031/448,6975/3633 is 3/232512

Least Common Multiple of 448,3633 with GCF Formula

Least Common Multiple of 448,3633 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 448,3633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,3633) = 7

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

GCF(448,3633) x common factors =7 x 1 = 7

LCM(448,3633) = ( 448 × 3633 ) / 7

LCM(448,3633) = 1627584 / 7

LCM(448,3633) = 232512


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 8031/448, 6975/3633

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 8031/448, 6975/3633?

Answer: GCF of Numerators as per given numbers 8031/448, 6975/3633 is

GCF of Numerators i.e. for 8031,6975 is 3

LCM of denominators i.e. for 448,3633 is 232512.

Thus, GCF of Fractions is 3/232512.Finally, GCF of Fractions for 8031/448, 6975/3633 is 3/232512.