Greatest Common Factor of 498/125, 4199/6876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/125, 4199/6876

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 498/125,4199/6876

Given fractions are 498/125,4199/6876

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 498,4199

Greatest Common Factor of Numerators i.e. GCF of 498,4199 is 1 .

LCM of Denominators means LCM of 125,6876 as per the given fractions.

LCM of 125,6876 is 859500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,4199

GCF of Fractions 498/125,4199/6876 is 1/859500

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

Greatest Common Factor of 498,4199 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,4199 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 4199

List of positive integer factors of 4199 that divides 4199 without a remainder.

1,13,17,19,221,247,323,4199

Greatest Common Factor

We found the factors 498,4199 . The biggest common factor number is the GCF number.
So the greatest common factor 498,4199 is 1.

Lets's calculate LCM of 125,6876

Given numbers has no common factors except 1. So, there LCM is their product i.e 859500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859500

Therefore, the GCF of Fractions 498/125,4199/6876 is 1/859500

Least Common Multiple of 125,6876 with GCF Formula

Least Common Multiple of 125,6876 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 125,6876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,6876) = 1

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

GCF(125,6876) x common factors =1 x 1 = 1

LCM(125,6876) = ( 125 × 6876 ) / 1

LCM(125,6876) = 859500 / 1

LCM(125,6876) = 859500


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 498/125, 4199/6876

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 498/125, 4199/6876?

Answer: GCF of Numerators as per given numbers 498/125, 4199/6876 is

GCF of Numerators i.e. for 498,4199 is 1

LCM of denominators i.e. for 125,6876 is 859500.

Thus, GCF of Fractions is 1/859500.Finally, GCF of Fractions for 498/125, 4199/6876 is 1/859500.