Greatest Common Factor of 4199/551, 6872/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4199/551, 6872/251

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 4199/551,6872/251

Given fractions are 4199/551,6872/251

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 4199,6872

Greatest Common Factor of Numerators i.e. GCF of 4199,6872 is 1 .

LCM of Denominators means LCM of 551,251 as per the given fractions.

LCM of 551,251 is 138301 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4199,6872

GCF of Fractions 4199/551,6872/251 is 1/138301

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

Greatest Common Factor of 4199,6872 By Matching Biggest Common Factor Method

Greatest Common Factor of 4199,6872 By Matching Biggest Common Factor Method

Factors of 4199

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

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

Factors of 6872

List of positive integer factors of 6872 that divides 6872 without a remainder.

1,2,4,8,859,1718,3436,6872

Greatest Common Factor

We found the factors 4199,6872 . The biggest common factor number is the GCF number.
So the greatest common factor 4199,6872 is 1.

Lets's calculate LCM of 551,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 138301

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138301

Therefore, the GCF of Fractions 4199/551,6872/251 is 1/138301

Least Common Multiple of 551,251 with GCF Formula

Least Common Multiple of 551,251 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 551,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,251) = 1

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

GCF(551,251) x common factors =1 x 1 = 1

LCM(551,251) = ( 551 × 251 ) / 1

LCM(551,251) = 138301 / 1

LCM(551,251) = 138301


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 4199/551, 6872/251

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 4199/551, 6872/251?

Answer: GCF of Numerators as per given numbers 4199/551, 6872/251 is

GCF of Numerators i.e. for 4199,6872 is 1

LCM of denominators i.e. for 551,251 is 138301.

Thus, GCF of Fractions is 1/138301.Finally, GCF of Fractions for 4199/551, 6872/251 is 1/138301.