Greatest Common Factor of 6797/439, 8232/4861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6797/439, 8232/4861

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 6797/439,8232/4861

Given fractions are 6797/439,8232/4861

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 6797,8232

Greatest Common Factor of Numerators i.e. GCF of 6797,8232 is 7 .

LCM of Denominators means LCM of 439,4861 as per the given fractions.

LCM of 439,4861 is 2133979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6797,8232

GCF of Fractions 6797/439,8232/4861 is 7/2133979

7 6797, 8232
971, 1176

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6797,8232 By Matching Biggest Common Factor Method

Greatest Common Factor of 6797,8232 By Matching Biggest Common Factor Method

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1,7,971,6797

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Greatest Common Factor

We found the factors 6797,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 6797,8232 is 7.

Lets's calculate LCM of 439,4861

Given numbers has no common factors except 1. So, there LCM is their product i.e 2133979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2133979

Therefore, the GCF of Fractions 6797/439,8232/4861 is 7/2133979

Least Common Multiple of 439,4861 with GCF Formula

Least Common Multiple of 439,4861 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 439,4861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,4861) = 1

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

GCF(439,4861) x common factors =1 x 1 = 1

LCM(439,4861) = ( 439 × 4861 ) / 1

LCM(439,4861) = 2133979 / 1

LCM(439,4861) = 2133979


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 6797/439, 8232/4861

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 6797/439, 8232/4861?

Answer: GCF of Numerators as per given numbers 6797/439, 8232/4861 is

GCF of Numerators i.e. for 6797,8232 is 7

LCM of denominators i.e. for 439,4861 is 2133979.

Thus, GCF of Fractions is 7/2133979.Finally, GCF of Fractions for 6797/439, 8232/4861 is 7/2133979.