Greatest Common Factor of 7117/315, 8548/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7117/315, 8548/678

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 7117/315,8548/678

Given fractions are 7117/315,8548/678

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 7117,8548

Greatest Common Factor of Numerators i.e. GCF of 7117,8548 is 1 .

LCM of Denominators means LCM of 315,678 as per the given fractions.

LCM of 315,678 is 71190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7117,8548

GCF of Fractions 7117/315,8548/678 is 1/71190

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

Greatest Common Factor of 7117,8548 By Matching Biggest Common Factor Method

Greatest Common Factor of 7117,8548 By Matching Biggest Common Factor Method

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1,11,647,7117

Factors of 8548

List of positive integer factors of 8548 that divides 8548 without a remainder.

1,2,4,2137,4274,8548

Greatest Common Factor

We found the factors 7117,8548 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,8548 is 1.

Lets's calculate LCM of 315,678

3 315, 678
105, 226

∴ So the LCM of the given numbers is 3 x 105 x 226 = 71190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71190

Therefore, the GCF of Fractions 7117/315,8548/678 is 1/71190

Least Common Multiple of 315,678 with GCF Formula

Least Common Multiple of 315,678 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 315,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,678) = 3

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

GCF(315,678) x common factors =3 x 1 = 3

LCM(315,678) = ( 315 × 678 ) / 3

LCM(315,678) = 213570 / 3

LCM(315,678) = 71190


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 7117/315, 8548/678

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 7117/315, 8548/678?

Answer: GCF of Numerators as per given numbers 7117/315, 8548/678 is

GCF of Numerators i.e. for 7117,8548 is 1

LCM of denominators i.e. for 315,678 is 71190.

Thus, GCF of Fractions is 1/71190.Finally, GCF of Fractions for 7117/315, 8548/678 is 1/71190.