Greatest Common Factor of 9808/466, 8300/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9808/466, 8300/704

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 9808/466,8300/704

Given fractions are 9808/466,8300/704

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 9808,8300

Greatest Common Factor of Numerators i.e. GCF of 9808,8300 is 4 .

LCM of Denominators means LCM of 466,704 as per the given fractions.

LCM of 466,704 is 164032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9808,8300

GCF of Fractions 9808/466,8300/704 is 4/164032

2 9808, 8300
2 4904, 4150
2452, 2075

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

Greatest Common Factor of 9808,8300 By Matching Biggest Common Factor Method

Greatest Common Factor of 9808,8300 By Matching Biggest Common Factor Method

Factors of 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1,2,4,8,16,613,1226,2452,4904,9808

Factors of 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300

Greatest Common Factor

We found the factors 9808,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 9808,8300 is 4.

Lets's calculate LCM of 466,704

2 466, 704
233, 352

∴ So the LCM of the given numbers is 2 x 233 x 352 = 164032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/164032

Therefore, the GCF of Fractions 9808/466,8300/704 is 4/164032

Least Common Multiple of 466,704 with GCF Formula

Least Common Multiple of 466,704 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 466,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,704) = 2

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

GCF(466,704) x common factors =2 x 1 = 2

LCM(466,704) = ( 466 × 704 ) / 2

LCM(466,704) = 328064 / 2

LCM(466,704) = 164032


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 9808/466, 8300/704

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 9808/466, 8300/704?

Answer: GCF of Numerators as per given numbers 9808/466, 8300/704 is

GCF of Numerators i.e. for 9808,8300 is 4

LCM of denominators i.e. for 466,704 is 164032.

Thus, GCF of Fractions is 4/164032.Finally, GCF of Fractions for 9808/466, 8300/704 is 4/164032.