Greatest Common Factor of 9734/349, 8102/1173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9734/349, 8102/1173

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 9734/349,8102/1173

Given fractions are 9734/349,8102/1173

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 9734,8102

Greatest Common Factor of Numerators i.e. GCF of 9734,8102 is 2 .

LCM of Denominators means LCM of 349,1173 as per the given fractions.

LCM of 349,1173 is 409377 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9734,8102

GCF of Fractions 9734/349,8102/1173 is 2/409377

2 9734, 8102
4867, 4051

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

Greatest Common Factor of 9734,8102 By Matching Biggest Common Factor Method

Greatest Common Factor of 9734,8102 By Matching Biggest Common Factor Method

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1,2,31,62,157,314,4867,9734

Factors of 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1,2,4051,8102

Greatest Common Factor

We found the factors 9734,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 9734,8102 is 2.

Lets's calculate LCM of 349,1173

Given numbers has no common factors except 1. So, there LCM is their product i.e 409377

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/409377

Therefore, the GCF of Fractions 9734/349,8102/1173 is 2/409377

Least Common Multiple of 349,1173 with GCF Formula

Least Common Multiple of 349,1173 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 349,1173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,1173) = 1

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

GCF(349,1173) x common factors =1 x 1 = 1

LCM(349,1173) = ( 349 × 1173 ) / 1

LCM(349,1173) = 409377 / 1

LCM(349,1173) = 409377


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 9734/349, 8102/1173

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 9734/349, 8102/1173?

Answer: GCF of Numerators as per given numbers 9734/349, 8102/1173 is

GCF of Numerators i.e. for 9734,8102 is 2

LCM of denominators i.e. for 349,1173 is 409377.

Thus, GCF of Fractions is 2/409377.Finally, GCF of Fractions for 9734/349, 8102/1173 is 2/409377.