Greatest Common Factor of 9740/55, 4867/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9740/55, 4867/649

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 9740/55,4867/649

Given fractions are 9740/55,4867/649

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 9740,4867

Greatest Common Factor of Numerators i.e. GCF of 9740,4867 is 1 .

LCM of Denominators means LCM of 55,649 as per the given fractions.

LCM of 55,649 is 3245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9740,4867

GCF of Fractions 9740/55,4867/649 is 1/3245

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

Greatest Common Factor of 9740,4867 By Matching Biggest Common Factor Method

Greatest Common Factor of 9740,4867 By Matching Biggest Common Factor Method

Factors of 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1,2,4,5,10,20,487,974,1948,2435,4870,9740

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1,31,157,4867

Greatest Common Factor

We found the factors 9740,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 9740,4867 is 1.

Lets's calculate LCM of 55,649

11 55, 649
5, 59

∴ So the LCM of the given numbers is 11 x 5 x 59 = 3245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3245

Therefore, the GCF of Fractions 9740/55,4867/649 is 1/3245

Least Common Multiple of 55,649 with GCF Formula

Least Common Multiple of 55,649 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 55,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,649) = 11

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

GCF(55,649) x common factors =11 x 1 = 11

LCM(55,649) = ( 55 × 649 ) / 11

LCM(55,649) = 35695 / 11

LCM(55,649) = 3245


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 9740/55, 4867/649

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 9740/55, 4867/649?

Answer: GCF of Numerators as per given numbers 9740/55, 4867/649 is

GCF of Numerators i.e. for 9740,4867 is 1

LCM of denominators i.e. for 55,649 is 3245.

Thus, GCF of Fractions is 1/3245.Finally, GCF of Fractions for 9740/55, 4867/649 is 1/3245.