Greatest Common Factor of 9104/45, 7174/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9104/45, 7174/802

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 9104/45,7174/802

Given fractions are 9104/45,7174/802

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 9104,7174

Greatest Common Factor of Numerators i.e. GCF of 9104,7174 is 2 .

LCM of Denominators means LCM of 45,802 as per the given fractions.

LCM of 45,802 is 36090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9104,7174

GCF of Fractions 9104/45,7174/802 is 2/36090

2 9104, 7174
4552, 3587

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

Greatest Common Factor of 9104,7174 By Matching Biggest Common Factor Method

Greatest Common Factor of 9104,7174 By Matching Biggest Common Factor Method

Factors of 9104

List of positive integer factors of 9104 that divides 9104 without a remainder.

1,2,4,8,16,569,1138,2276,4552,9104

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1,2,17,34,211,422,3587,7174

Greatest Common Factor

We found the factors 9104,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 9104,7174 is 2.

Lets's calculate LCM of 45,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 36090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36090

Therefore, the GCF of Fractions 9104/45,7174/802 is 2/36090

Least Common Multiple of 45,802 with GCF Formula

Least Common Multiple of 45,802 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 45,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,802) = 1

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

GCF(45,802) x common factors =1 x 1 = 1

LCM(45,802) = ( 45 × 802 ) / 1

LCM(45,802) = 36090 / 1

LCM(45,802) = 36090


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 9104/45, 7174/802

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 9104/45, 7174/802?

Answer: GCF of Numerators as per given numbers 9104/45, 7174/802 is

GCF of Numerators i.e. for 9104,7174 is 2

LCM of denominators i.e. for 45,802 is 36090.

Thus, GCF of Fractions is 2/36090.Finally, GCF of Fractions for 9104/45, 7174/802 is 2/36090.