Greatest Common Factor of 4807/98, 7227/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4807/98, 7227/700

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 4807/98,7227/700

Given fractions are 4807/98,7227/700

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 4807,7227

Greatest Common Factor of Numerators i.e. GCF of 4807,7227 is 11 .

LCM of Denominators means LCM of 98,700 as per the given fractions.

LCM of 98,700 is 4900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4807,7227

GCF of Fractions 4807/98,7227/700 is 11/4900

11 4807, 7227
437, 657

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4807,7227 By Matching Biggest Common Factor Method

Greatest Common Factor of 4807,7227 By Matching Biggest Common Factor Method

Factors of 4807

List of positive integer factors of 4807 that divides 4807 without a remainder.

1,11,19,23,209,253,437,4807

Factors of 7227

List of positive integer factors of 7227 that divides 7227 without a remainder.

1,3,9,11,33,73,99,219,657,803,2409,7227

Greatest Common Factor

We found the factors 4807,7227 . The biggest common factor number is the GCF number.
So the greatest common factor 4807,7227 is 11.

Lets's calculate LCM of 98,700

2 98, 700
7 49, 350
7, 50

∴ So the LCM of the given numbers is 2 x 7 x 7 x 50 = 4900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4900

Therefore, the GCF of Fractions 4807/98,7227/700 is 11/4900

Least Common Multiple of 98,700 with GCF Formula

Least Common Multiple of 98,700 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 98,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,700) = 14

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

GCF(98,700) x common factors =14 x 1 = 14

LCM(98,700) = ( 98 × 700 ) / 14

LCM(98,700) = 68600 / 14

LCM(98,700) = 4900


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 4807/98, 7227/700

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 4807/98, 7227/700?

Answer: GCF of Numerators as per given numbers 4807/98, 7227/700 is

GCF of Numerators i.e. for 4807,7227 is 11

LCM of denominators i.e. for 98,700 is 4900.

Thus, GCF of Fractions is 11/4900.Finally, GCF of Fractions for 4807/98, 7227/700 is 11/4900.