Greatest Common Factor of 9384/672, 6532/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9384/672, 6532/435

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 9384/672,6532/435

Given fractions are 9384/672,6532/435

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 9384,6532

Greatest Common Factor of Numerators i.e. GCF of 9384,6532 is 92 .

LCM of Denominators means LCM of 672,435 as per the given fractions.

LCM of 672,435 is 97440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9384,6532

GCF of Fractions 9384/672,6532/435 is 92/97440

2 9384, 6532
2 4692, 3266
23 2346, 1633
102, 71

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 9384,6532 By Matching Biggest Common Factor Method

Greatest Common Factor of 9384,6532 By Matching Biggest Common Factor Method

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Factors of 6532

List of positive integer factors of 6532 that divides 6532 without a remainder.

1,2,4,23,46,71,92,142,284,1633,3266,6532

Greatest Common Factor

We found the factors 9384,6532 . The biggest common factor number is the GCF number.
So the greatest common factor 9384,6532 is 92.

Lets's calculate LCM of 672,435

3 672, 435
224, 145

∴ So the LCM of the given numbers is 3 x 224 x 145 = 97440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/97440

Therefore, the GCF of Fractions 9384/672,6532/435 is 92/97440

Least Common Multiple of 672,435 with GCF Formula

Least Common Multiple of 672,435 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 672,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,435) = 3

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

GCF(672,435) x common factors =3 x 1 = 3

LCM(672,435) = ( 672 × 435 ) / 3

LCM(672,435) = 292320 / 3

LCM(672,435) = 97440


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 9384/672, 6532/435

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 9384/672, 6532/435?

Answer: GCF of Numerators as per given numbers 9384/672, 6532/435 is

GCF of Numerators i.e. for 9384,6532 is 92

LCM of denominators i.e. for 672,435 is 97440.

Thus, GCF of Fractions is 92/97440.Finally, GCF of Fractions for 9384/672, 6532/435 is 92/97440.