Greatest Common Factor of 3823/110, 7666/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3823/110, 7666/648

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 3823/110,7666/648

Given fractions are 3823/110,7666/648

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 3823,7666

Greatest Common Factor of Numerators i.e. GCF of 3823,7666 is 1 .

LCM of Denominators means LCM of 110,648 as per the given fractions.

LCM of 110,648 is 35640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3823,7666

GCF of Fractions 3823/110,7666/648 is 1/35640

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

Greatest Common Factor of 3823,7666 By Matching Biggest Common Factor Method

Greatest Common Factor of 3823,7666 By Matching Biggest Common Factor Method

Factors of 3823

List of positive integer factors of 3823 that divides 3823 without a remainder.

1,3823

Factors of 7666

List of positive integer factors of 7666 that divides 7666 without a remainder.

1,2,3833,7666

Greatest Common Factor

We found the factors 3823,7666 . The biggest common factor number is the GCF number.
So the greatest common factor 3823,7666 is 1.

Lets's calculate LCM of 110,648

2 110, 648
55, 324

∴ So the LCM of the given numbers is 2 x 55 x 324 = 35640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35640

Therefore, the GCF of Fractions 3823/110,7666/648 is 1/35640

Least Common Multiple of 110,648 with GCF Formula

Least Common Multiple of 110,648 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 110,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,648) = 2

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

GCF(110,648) x common factors =2 x 1 = 2

LCM(110,648) = ( 110 × 648 ) / 2

LCM(110,648) = 71280 / 2

LCM(110,648) = 35640


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 3823/110, 7666/648

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 3823/110, 7666/648?

Answer: GCF of Numerators as per given numbers 3823/110, 7666/648 is

GCF of Numerators i.e. for 3823,7666 is 1

LCM of denominators i.e. for 110,648 is 35640.

Thus, GCF of Fractions is 1/35640.Finally, GCF of Fractions for 3823/110, 7666/648 is 1/35640.