Greatest Common Factor of 9175/29, 7388/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9175/29, 7388/816

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 9175/29,7388/816

Given fractions are 9175/29,7388/816

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 9175,7388

Greatest Common Factor of Numerators i.e. GCF of 9175,7388 is 1 .

LCM of Denominators means LCM of 29,816 as per the given fractions.

LCM of 29,816 is 23664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9175,7388

GCF of Fractions 9175/29,7388/816 is 1/23664

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9175,7388 By Matching Biggest Common Factor Method

Greatest Common Factor of 9175,7388 By Matching Biggest Common Factor Method

Factors of 9175

List of positive integer factors of 9175 that divides 9175 without a remainder.

1,5,25,367,1835,9175

Factors of 7388

List of positive integer factors of 7388 that divides 7388 without a remainder.

1,2,4,1847,3694,7388

Greatest Common Factor

We found the factors 9175,7388 . The biggest common factor number is the GCF number.
So the greatest common factor 9175,7388 is 1.

Lets's calculate LCM of 29,816

Given numbers has no common factors except 1. So, there LCM is their product i.e 23664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23664

Therefore, the GCF of Fractions 9175/29,7388/816 is 1/23664

Least Common Multiple of 29,816 with GCF Formula

Least Common Multiple of 29,816 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 29,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,816) = 1

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

GCF(29,816) x common factors =1 x 1 = 1

LCM(29,816) = ( 29 × 816 ) / 1

LCM(29,816) = 23664 / 1

LCM(29,816) = 23664


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 9175/29, 7388/816

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 9175/29, 7388/816?

Answer: GCF of Numerators as per given numbers 9175/29, 7388/816 is

GCF of Numerators i.e. for 9175,7388 is 1

LCM of denominators i.e. for 29,816 is 23664.

Thus, GCF of Fractions is 1/23664.Finally, GCF of Fractions for 9175/29, 7388/816 is 1/23664.