Greatest Common Factor of 9607/11, 3734/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9607/11, 3734/148

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 9607/11,3734/148

Given fractions are 9607/11,3734/148

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 9607,3734

Greatest Common Factor of Numerators i.e. GCF of 9607,3734 is 1 .

LCM of Denominators means LCM of 11,148 as per the given fractions.

LCM of 11,148 is 1628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9607,3734

GCF of Fractions 9607/11,3734/148 is 1/1628

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

Greatest Common Factor of 9607,3734 By Matching Biggest Common Factor Method

Greatest Common Factor of 9607,3734 By Matching Biggest Common Factor Method

Factors of 9607

List of positive integer factors of 9607 that divides 9607 without a remainder.

1,13,739,9607

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1,2,1867,3734

Greatest Common Factor

We found the factors 9607,3734 . The biggest common factor number is the GCF number.
So the greatest common factor 9607,3734 is 1.

Lets's calculate LCM of 11,148

Given numbers has no common factors except 1. So, there LCM is their product i.e 1628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1628

Therefore, the GCF of Fractions 9607/11,3734/148 is 1/1628

Least Common Multiple of 11,148 with GCF Formula

Least Common Multiple of 11,148 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 11,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,148) = 1

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

GCF(11,148) x common factors =1 x 1 = 1

LCM(11,148) = ( 11 × 148 ) / 1

LCM(11,148) = 1628 / 1

LCM(11,148) = 1628


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 9607/11, 3734/148

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 9607/11, 3734/148?

Answer: GCF of Numerators as per given numbers 9607/11, 3734/148 is

GCF of Numerators i.e. for 9607,3734 is 1

LCM of denominators i.e. for 11,148 is 1628.

Thus, GCF of Fractions is 1/1628.Finally, GCF of Fractions for 9607/11, 3734/148 is 1/1628.