Greatest Common Factor of 9827/135, 7199/2029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9827/135, 7199/2029

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 9827/135,7199/2029

Given fractions are 9827/135,7199/2029

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 9827,7199

Greatest Common Factor of Numerators i.e. GCF of 9827,7199 is 1 .

LCM of Denominators means LCM of 135,2029 as per the given fractions.

LCM of 135,2029 is 273915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9827,7199

GCF of Fractions 9827/135,7199/2029 is 1/273915

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

Greatest Common Factor of 9827,7199 By Matching Biggest Common Factor Method

Greatest Common Factor of 9827,7199 By Matching Biggest Common Factor Method

Factors of 9827

List of positive integer factors of 9827 that divides 9827 without a remainder.

1,31,317,9827

Factors of 7199

List of positive integer factors of 7199 that divides 7199 without a remainder.

1,23,313,7199

Greatest Common Factor

We found the factors 9827,7199 . The biggest common factor number is the GCF number.
So the greatest common factor 9827,7199 is 1.

Lets's calculate LCM of 135,2029

Given numbers has no common factors except 1. So, there LCM is their product i.e 273915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273915

Therefore, the GCF of Fractions 9827/135,7199/2029 is 1/273915

Least Common Multiple of 135,2029 with GCF Formula

Least Common Multiple of 135,2029 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 135,2029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,2029) = 1

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

GCF(135,2029) x common factors =1 x 1 = 1

LCM(135,2029) = ( 135 × 2029 ) / 1

LCM(135,2029) = 273915 / 1

LCM(135,2029) = 273915


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 9827/135, 7199/2029

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 9827/135, 7199/2029?

Answer: GCF of Numerators as per given numbers 9827/135, 7199/2029 is

GCF of Numerators i.e. for 9827,7199 is 1

LCM of denominators i.e. for 135,2029 is 273915.

Thus, GCF of Fractions is 1/273915.Finally, GCF of Fractions for 9827/135, 7199/2029 is 1/273915.