Greatest Common Factor of 8019/32, 8991/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8019/32, 8991/700

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 8019/32,8991/700

Given fractions are 8019/32,8991/700

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 8019,8991

Greatest Common Factor of Numerators i.e. GCF of 8019,8991 is 243 .

LCM of Denominators means LCM of 32,700 as per the given fractions.

LCM of 32,700 is 5600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8019,8991

GCF of Fractions 8019/32,8991/700 is 243/5600

3 8019, 8991
3 2673, 2997
3 891, 999
3 297, 333
3 99, 111
33, 37

∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 x 3 = 243

Greatest Common Factor of 8019,8991 By Matching Biggest Common Factor Method

Greatest Common Factor of 8019,8991 By Matching Biggest Common Factor Method

Factors of 8019

List of positive integer factors of 8019 that divides 8019 without a remainder.

1,3,9,11,27,33,81,99,243,297,729,891,2673,8019

Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1,3,9,27,37,81,111,243,333,999,2997,8991

Greatest Common Factor

We found the factors 8019,8991 . The biggest common factor number is the GCF number.
So the greatest common factor 8019,8991 is 243.

Lets's calculate LCM of 32,700

2 32, 700
2 16, 350
8, 175

∴ So the LCM of the given numbers is 2 x 2 x 8 x 175 = 5600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 243/5600

Therefore, the GCF of Fractions 8019/32,8991/700 is 243/5600

Least Common Multiple of 32,700 with GCF Formula

Least Common Multiple of 32,700 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 32,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,700) = 4

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

GCF(32,700) x common factors =4 x 1 = 4

LCM(32,700) = ( 32 × 700 ) / 4

LCM(32,700) = 22400 / 4

LCM(32,700) = 5600


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 8019/32, 8991/700

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 8019/32, 8991/700?

Answer: GCF of Numerators as per given numbers 8019/32, 8991/700 is

GCF of Numerators i.e. for 8019,8991 is 243

LCM of denominators i.e. for 32,700 is 5600.

Thus, GCF of Fractions is 243/5600.Finally, GCF of Fractions for 8019/32, 8991/700 is 243/5600.