Greatest Common Factor of 8048/232, 6718/5170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8048/232, 6718/5170

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 8048/232,6718/5170

Given fractions are 8048/232,6718/5170

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 8048,6718

Greatest Common Factor of Numerators i.e. GCF of 8048,6718 is 2 .

LCM of Denominators means LCM of 232,5170 as per the given fractions.

LCM of 232,5170 is 599720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8048,6718

GCF of Fractions 8048/232,6718/5170 is 2/599720

2 8048, 6718
4024, 3359

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

Greatest Common Factor of 8048,6718 By Matching Biggest Common Factor Method

Greatest Common Factor of 8048,6718 By Matching Biggest Common Factor Method

Factors of 8048

List of positive integer factors of 8048 that divides 8048 without a remainder.

1,2,4,8,16,503,1006,2012,4024,8048

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Greatest Common Factor

We found the factors 8048,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 8048,6718 is 2.

Lets's calculate LCM of 232,5170

2 232, 5170
116, 2585

∴ So the LCM of the given numbers is 2 x 116 x 2585 = 599720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/599720

Therefore, the GCF of Fractions 8048/232,6718/5170 is 2/599720

Least Common Multiple of 232,5170 with GCF Formula

Least Common Multiple of 232,5170 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 232,5170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,5170) = 2

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

GCF(232,5170) x common factors =2 x 1 = 2

LCM(232,5170) = ( 232 × 5170 ) / 2

LCM(232,5170) = 1199440 / 2

LCM(232,5170) = 599720


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 8048/232, 6718/5170

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 8048/232, 6718/5170?

Answer: GCF of Numerators as per given numbers 8048/232, 6718/5170 is

GCF of Numerators i.e. for 8048,6718 is 2

LCM of denominators i.e. for 232,5170 is 599720.

Thus, GCF of Fractions is 2/599720.Finally, GCF of Fractions for 8048/232, 6718/5170 is 2/599720.