Greatest Common Factor of 6318/830, 5171/4176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6318/830, 5171/4176

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 6318/830,5171/4176

Given fractions are 6318/830,5171/4176

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 6318,5171

Greatest Common Factor of Numerators i.e. GCF of 6318,5171 is 1 .

LCM of Denominators means LCM of 830,4176 as per the given fractions.

LCM of 830,4176 is 1733040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6318,5171

GCF of Fractions 6318/830,5171/4176 is 1/1733040

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

Greatest Common Factor of 6318,5171 By Matching Biggest Common Factor Method

Greatest Common Factor of 6318,5171 By Matching Biggest Common Factor Method

Factors of 6318

List of positive integer factors of 6318 that divides 6318 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318

Factors of 5171

List of positive integer factors of 5171 that divides 5171 without a remainder.

1,5171

Greatest Common Factor

We found the factors 6318,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 6318,5171 is 1.

Lets's calculate LCM of 830,4176

2 830, 4176
415, 2088

∴ So the LCM of the given numbers is 2 x 415 x 2088 = 1733040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1733040

Therefore, the GCF of Fractions 6318/830,5171/4176 is 1/1733040

Least Common Multiple of 830,4176 with GCF Formula

Least Common Multiple of 830,4176 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 830,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,4176) = 2

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

GCF(830,4176) x common factors =2 x 1 = 2

LCM(830,4176) = ( 830 × 4176 ) / 2

LCM(830,4176) = 3466080 / 2

LCM(830,4176) = 1733040


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 6318/830, 5171/4176

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 6318/830, 5171/4176?

Answer: GCF of Numerators as per given numbers 6318/830, 5171/4176 is

GCF of Numerators i.e. for 6318,5171 is 1

LCM of denominators i.e. for 830,4176 is 1733040.

Thus, GCF of Fractions is 1/1733040.Finally, GCF of Fractions for 6318/830, 5171/4176 is 1/1733040.