Greatest Common Factor of 9174/310, 8534/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9174/310, 8534/311

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 9174/310,8534/311

Given fractions are 9174/310,8534/311

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 9174,8534

Greatest Common Factor of Numerators i.e. GCF of 9174,8534 is 2 .

LCM of Denominators means LCM of 310,311 as per the given fractions.

LCM of 310,311 is 96410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9174,8534

GCF of Fractions 9174/310,8534/311 is 2/96410

2 9174, 8534
4587, 4267

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

Greatest Common Factor of 9174,8534 By Matching Biggest Common Factor Method

Greatest Common Factor of 9174,8534 By Matching Biggest Common Factor Method

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174

Factors of 8534

List of positive integer factors of 8534 that divides 8534 without a remainder.

1,2,17,34,251,502,4267,8534

Greatest Common Factor

We found the factors 9174,8534 . The biggest common factor number is the GCF number.
So the greatest common factor 9174,8534 is 2.

Lets's calculate LCM of 310,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 96410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96410

Therefore, the GCF of Fractions 9174/310,8534/311 is 2/96410

Least Common Multiple of 310,311 with GCF Formula

Least Common Multiple of 310,311 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 310,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,311) = 1

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

GCF(310,311) x common factors =1 x 1 = 1

LCM(310,311) = ( 310 × 311 ) / 1

LCM(310,311) = 96410 / 1

LCM(310,311) = 96410


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 9174/310, 8534/311

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 9174/310, 8534/311?

Answer: GCF of Numerators as per given numbers 9174/310, 8534/311 is

GCF of Numerators i.e. for 9174,8534 is 2

LCM of denominators i.e. for 310,311 is 96410.

Thus, GCF of Fractions is 2/96410.Finally, GCF of Fractions for 9174/310, 8534/311 is 2/96410.