Greatest Common Factor of 6468/232, 3977/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6468/232, 3977/110

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 6468/232,3977/110

Given fractions are 6468/232,3977/110

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 6468,3977

Greatest Common Factor of Numerators i.e. GCF of 6468,3977 is 1 .

LCM of Denominators means LCM of 232,110 as per the given fractions.

LCM of 232,110 is 12760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6468,3977

GCF of Fractions 6468/232,3977/110 is 1/12760

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

Greatest Common Factor of 6468,3977 By Matching Biggest Common Factor Method

Greatest Common Factor of 6468,3977 By Matching Biggest Common Factor Method

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1,41,97,3977

Greatest Common Factor

We found the factors 6468,3977 . The biggest common factor number is the GCF number.
So the greatest common factor 6468,3977 is 1.

Lets's calculate LCM of 232,110

2 232, 110
116, 55

∴ So the LCM of the given numbers is 2 x 116 x 55 = 12760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12760

Therefore, the GCF of Fractions 6468/232,3977/110 is 1/12760

Least Common Multiple of 232,110 with GCF Formula

Least Common Multiple of 232,110 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 232,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,110) = 2

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

GCF(232,110) x common factors =2 x 1 = 2

LCM(232,110) = ( 232 × 110 ) / 2

LCM(232,110) = 25520 / 2

LCM(232,110) = 12760


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 6468/232, 3977/110

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 6468/232, 3977/110?

Answer: GCF of Numerators as per given numbers 6468/232, 3977/110 is

GCF of Numerators i.e. for 6468,3977 is 1

LCM of denominators i.e. for 232,110 is 12760.

Thus, GCF of Fractions is 1/12760.Finally, GCF of Fractions for 6468/232, 3977/110 is 1/12760.