Greatest Common Factor of 9668/50, 7312/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9668/50, 7312/438

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 9668/50,7312/438

Given fractions are 9668/50,7312/438

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 9668,7312

Greatest Common Factor of Numerators i.e. GCF of 9668,7312 is 4 .

LCM of Denominators means LCM of 50,438 as per the given fractions.

LCM of 50,438 is 10950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9668,7312

GCF of Fractions 9668/50,7312/438 is 4/10950

2 9668, 7312
2 4834, 3656
2417, 1828

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9668,7312 By Matching Biggest Common Factor Method

Greatest Common Factor of 9668,7312 By Matching Biggest Common Factor Method

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1,2,4,2417,4834,9668

Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1,2,4,8,16,457,914,1828,3656,7312

Greatest Common Factor

We found the factors 9668,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 9668,7312 is 4.

Lets's calculate LCM of 50,438

2 50, 438
25, 219

∴ So the LCM of the given numbers is 2 x 25 x 219 = 10950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10950

Therefore, the GCF of Fractions 9668/50,7312/438 is 4/10950

Least Common Multiple of 50,438 with GCF Formula

Least Common Multiple of 50,438 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 50,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,438) = 2

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

GCF(50,438) x common factors =2 x 1 = 2

LCM(50,438) = ( 50 × 438 ) / 2

LCM(50,438) = 21900 / 2

LCM(50,438) = 10950


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 9668/50, 7312/438

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 9668/50, 7312/438?

Answer: GCF of Numerators as per given numbers 9668/50, 7312/438 is

GCF of Numerators i.e. for 9668,7312 is 4

LCM of denominators i.e. for 50,438 is 10950.

Thus, GCF of Fractions is 4/10950.Finally, GCF of Fractions for 9668/50, 7312/438 is 4/10950.