Greatest Common Factor of 9308/153, 9451/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9308/153, 9451/223

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 9308/153,9451/223

Given fractions are 9308/153,9451/223

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 9308,9451

Greatest Common Factor of Numerators i.e. GCF of 9308,9451 is 13 .

LCM of Denominators means LCM of 153,223 as per the given fractions.

LCM of 153,223 is 34119 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9308,9451

GCF of Fractions 9308/153,9451/223 is 13/34119

13 9308, 9451
716, 727

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9308,9451 By Matching Biggest Common Factor Method

Greatest Common Factor of 9308,9451 By Matching Biggest Common Factor Method

Factors of 9308

List of positive integer factors of 9308 that divides 9308 without a remainder.

1,2,4,13,26,52,179,358,716,2327,4654,9308

Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1,13,727,9451

Greatest Common Factor

We found the factors 9308,9451 . The biggest common factor number is the GCF number.
So the greatest common factor 9308,9451 is 13.

Lets's calculate LCM of 153,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 34119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/34119

Therefore, the GCF of Fractions 9308/153,9451/223 is 13/34119

Least Common Multiple of 153,223 with GCF Formula

Least Common Multiple of 153,223 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 153,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,223) = 1

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

GCF(153,223) x common factors =1 x 1 = 1

LCM(153,223) = ( 153 × 223 ) / 1

LCM(153,223) = 34119 / 1

LCM(153,223) = 34119


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 9308/153, 9451/223

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 9308/153, 9451/223?

Answer: GCF of Numerators as per given numbers 9308/153, 9451/223 is

GCF of Numerators i.e. for 9308,9451 is 13

LCM of denominators i.e. for 153,223 is 34119.

Thus, GCF of Fractions is 13/34119.Finally, GCF of Fractions for 9308/153, 9451/223 is 13/34119.