Greatest Common Factor of 7535/295, 3810/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7535/295, 3810/248

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 7535/295,3810/248

Given fractions are 7535/295,3810/248

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 7535,3810

Greatest Common Factor of Numerators i.e. GCF of 7535,3810 is 5 .

LCM of Denominators means LCM of 295,248 as per the given fractions.

LCM of 295,248 is 73160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7535,3810

GCF of Fractions 7535/295,3810/248 is 5/73160

5 7535, 3810
1507, 762

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7535,3810 By Matching Biggest Common Factor Method

Greatest Common Factor of 7535,3810 By Matching Biggest Common Factor Method

Factors of 7535

List of positive integer factors of 7535 that divides 7535 without a remainder.

1,5,11,55,137,685,1507,7535

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Greatest Common Factor

We found the factors 7535,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 7535,3810 is 5.

Lets's calculate LCM of 295,248

Given numbers has no common factors except 1. So, there LCM is their product i.e 73160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73160

Therefore, the GCF of Fractions 7535/295,3810/248 is 5/73160

Least Common Multiple of 295,248 with GCF Formula

Least Common Multiple of 295,248 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 295,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,248) = 1

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

GCF(295,248) x common factors =1 x 1 = 1

LCM(295,248) = ( 295 × 248 ) / 1

LCM(295,248) = 73160 / 1

LCM(295,248) = 73160


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 7535/295, 3810/248

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 7535/295, 3810/248?

Answer: GCF of Numerators as per given numbers 7535/295, 3810/248 is

GCF of Numerators i.e. for 7535,3810 is 5

LCM of denominators i.e. for 295,248 is 73160.

Thus, GCF of Fractions is 5/73160.Finally, GCF of Fractions for 7535/295, 3810/248 is 5/73160.