Greatest Common Factor of 9724/771, 3652/3417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9724/771, 3652/3417

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 9724/771,3652/3417

Given fractions are 9724/771,3652/3417

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 9724,3652

Greatest Common Factor of Numerators i.e. GCF of 9724,3652 is 44 .

LCM of Denominators means LCM of 771,3417 as per the given fractions.

LCM of 771,3417 is 878169 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9724,3652

GCF of Fractions 9724/771,3652/3417 is 44/878169

2 9724, 3652
2 4862, 1826
11 2431, 913
221, 83

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 9724,3652 By Matching Biggest Common Factor Method

Greatest Common Factor of 9724,3652 By Matching Biggest Common Factor Method

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724

Factors of 3652

List of positive integer factors of 3652 that divides 3652 without a remainder.

1,2,4,11,22,44,83,166,332,913,1826,3652

Greatest Common Factor

We found the factors 9724,3652 . The biggest common factor number is the GCF number.
So the greatest common factor 9724,3652 is 44.

Lets's calculate LCM of 771,3417

3 771, 3417
257, 1139

∴ So the LCM of the given numbers is 3 x 257 x 1139 = 878169

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/878169

Therefore, the GCF of Fractions 9724/771,3652/3417 is 44/878169

Least Common Multiple of 771,3417 with GCF Formula

Least Common Multiple of 771,3417 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 771,3417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,3417) = 3

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

GCF(771,3417) x common factors =3 x 1 = 3

LCM(771,3417) = ( 771 × 3417 ) / 3

LCM(771,3417) = 2634507 / 3

LCM(771,3417) = 878169


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 9724/771, 3652/3417

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 9724/771, 3652/3417?

Answer: GCF of Numerators as per given numbers 9724/771, 3652/3417 is

GCF of Numerators i.e. for 9724,3652 is 44

LCM of denominators i.e. for 771,3417 is 878169.

Thus, GCF of Fractions is 44/878169.Finally, GCF of Fractions for 9724/771, 3652/3417 is 44/878169.