Greatest Common Factor of 7301/93, 4949/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7301/93, 4949/175

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 7301/93,4949/175

Given fractions are 7301/93,4949/175

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 7301,4949

Greatest Common Factor of Numerators i.e. GCF of 7301,4949 is 49 .

LCM of Denominators means LCM of 93,175 as per the given fractions.

LCM of 93,175 is 16275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7301,4949

GCF of Fractions 7301/93,4949/175 is 49/16275

7 7301, 4949
7 1043, 707
149, 101

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 7301,4949 By Matching Biggest Common Factor Method

Greatest Common Factor of 7301,4949 By Matching Biggest Common Factor Method

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1,7,49,101,707,4949

Greatest Common Factor

We found the factors 7301,4949 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,4949 is 49.

Lets's calculate LCM of 93,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 16275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/16275

Therefore, the GCF of Fractions 7301/93,4949/175 is 49/16275

Least Common Multiple of 93,175 with GCF Formula

Least Common Multiple of 93,175 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 93,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,175) = 1

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

GCF(93,175) x common factors =1 x 1 = 1

LCM(93,175) = ( 93 × 175 ) / 1

LCM(93,175) = 16275 / 1

LCM(93,175) = 16275


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 7301/93, 4949/175

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 7301/93, 4949/175?

Answer: GCF of Numerators as per given numbers 7301/93, 4949/175 is

GCF of Numerators i.e. for 7301,4949 is 49

LCM of denominators i.e. for 93,175 is 16275.

Thus, GCF of Fractions is 49/16275.Finally, GCF of Fractions for 7301/93, 4949/175 is 49/16275.