Greatest Common Factor of 7207/37, 4191/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7207/37, 4191/920

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 7207/37,4191/920

Given fractions are 7207/37,4191/920

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 7207,4191

Greatest Common Factor of Numerators i.e. GCF of 7207,4191 is 1 .

LCM of Denominators means LCM of 37,920 as per the given fractions.

LCM of 37,920 is 34040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7207,4191

GCF of Fractions 7207/37,4191/920 is 1/34040

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

Greatest Common Factor of 7207,4191 By Matching Biggest Common Factor Method

Greatest Common Factor of 7207,4191 By Matching Biggest Common Factor Method

Factors of 7207

List of positive integer factors of 7207 that divides 7207 without a remainder.

1,7207

Factors of 4191

List of positive integer factors of 4191 that divides 4191 without a remainder.

1,3,11,33,127,381,1397,4191

Greatest Common Factor

We found the factors 7207,4191 . The biggest common factor number is the GCF number.
So the greatest common factor 7207,4191 is 1.

Lets's calculate LCM of 37,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 34040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34040

Therefore, the GCF of Fractions 7207/37,4191/920 is 1/34040

Least Common Multiple of 37,920 with GCF Formula

Least Common Multiple of 37,920 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 37,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,920) = 1

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

GCF(37,920) x common factors =1 x 1 = 1

LCM(37,920) = ( 37 × 920 ) / 1

LCM(37,920) = 34040 / 1

LCM(37,920) = 34040


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 7207/37, 4191/920

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 7207/37, 4191/920?

Answer: GCF of Numerators as per given numbers 7207/37, 4191/920 is

GCF of Numerators i.e. for 7207,4191 is 1

LCM of denominators i.e. for 37,920 is 34040.

Thus, GCF of Fractions is 1/34040.Finally, GCF of Fractions for 7207/37, 4191/920 is 1/34040.