Greatest Common Factor of 9488/176, 9210/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9488/176, 9210/104

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 9488/176,9210/104

Given fractions are 9488/176,9210/104

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 9488,9210

Greatest Common Factor of Numerators i.e. GCF of 9488,9210 is 2 .

LCM of Denominators means LCM of 176,104 as per the given fractions.

LCM of 176,104 is 2288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9488,9210

GCF of Fractions 9488/176,9210/104 is 2/2288

2 9488, 9210
4744, 4605

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

Greatest Common Factor of 9488,9210 By Matching Biggest Common Factor Method

Greatest Common Factor of 9488,9210 By Matching Biggest Common Factor Method

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1,2,4,8,16,593,1186,2372,4744,9488

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210

Greatest Common Factor

We found the factors 9488,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 9488,9210 is 2.

Lets's calculate LCM of 176,104

2 176, 104
2 88, 52
2 44, 26
22, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 22 x 13 = 2288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2288

Therefore, the GCF of Fractions 9488/176,9210/104 is 2/2288

Least Common Multiple of 176,104 with GCF Formula

Least Common Multiple of 176,104 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 176,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,104) = 8

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

GCF(176,104) x common factors =8 x 1 = 8

LCM(176,104) = ( 176 × 104 ) / 8

LCM(176,104) = 18304 / 8

LCM(176,104) = 2288


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 9488/176, 9210/104

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 9488/176, 9210/104?

Answer: GCF of Numerators as per given numbers 9488/176, 9210/104 is

GCF of Numerators i.e. for 9488,9210 is 2

LCM of denominators i.e. for 176,104 is 2288.

Thus, GCF of Fractions is 2/2288.Finally, GCF of Fractions for 9488/176, 9210/104 is 2/2288.