Greatest Common Factor of 148/65, 7834/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/65, 7834/721

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 148/65,7834/721

Given fractions are 148/65,7834/721

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 148,7834

Greatest Common Factor of Numerators i.e. GCF of 148,7834 is 2 .

LCM of Denominators means LCM of 65,721 as per the given fractions.

LCM of 65,721 is 46865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,7834

GCF of Fractions 148/65,7834/721 is 2/46865

2 148, 7834
74, 3917

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 148,7834 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,7834 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 7834

List of positive integer factors of 7834 that divides 7834 without a remainder.

1,2,3917,7834

Greatest Common Factor

We found the factors 148,7834 . The biggest common factor number is the GCF number.
So the greatest common factor 148,7834 is 2.

Lets's calculate LCM of 65,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 46865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46865

Therefore, the GCF of Fractions 148/65,7834/721 is 2/46865

Least Common Multiple of 65,721 with GCF Formula

Least Common Multiple of 65,721 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 65,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,721) = 1

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

GCF(65,721) x common factors =1 x 1 = 1

LCM(65,721) = ( 65 × 721 ) / 1

LCM(65,721) = 46865 / 1

LCM(65,721) = 46865


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 148/65, 7834/721

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 148/65, 7834/721?

Answer: GCF of Numerators as per given numbers 148/65, 7834/721 is

GCF of Numerators i.e. for 148,7834 is 2

LCM of denominators i.e. for 65,721 is 46865.

Thus, GCF of Fractions is 2/46865.Finally, GCF of Fractions for 148/65, 7834/721 is 2/46865.