Greatest Common Factor of 7731/442, 1642/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7731/442, 1642/148

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 7731/442,1642/148

Given fractions are 7731/442,1642/148

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 7731,1642

Greatest Common Factor of Numerators i.e. GCF of 7731,1642 is 1 .

LCM of Denominators means LCM of 442,148 as per the given fractions.

LCM of 442,148 is 32708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7731,1642

GCF of Fractions 7731/442,1642/148 is 1/32708

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

Greatest Common Factor of 7731,1642 By Matching Biggest Common Factor Method

Greatest Common Factor of 7731,1642 By Matching Biggest Common Factor Method

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1,3,9,859,2577,7731

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

Greatest Common Factor

We found the factors 7731,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 7731,1642 is 1.

Lets's calculate LCM of 442,148

2 442, 148
221, 74

∴ So the LCM of the given numbers is 2 x 221 x 74 = 32708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32708

Therefore, the GCF of Fractions 7731/442,1642/148 is 1/32708

Least Common Multiple of 442,148 with GCF Formula

Least Common Multiple of 442,148 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 442,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,148) = 2

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

GCF(442,148) x common factors =2 x 1 = 2

LCM(442,148) = ( 442 × 148 ) / 2

LCM(442,148) = 65416 / 2

LCM(442,148) = 32708


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 7731/442, 1642/148

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 7731/442, 1642/148?

Answer: GCF of Numerators as per given numbers 7731/442, 1642/148 is

GCF of Numerators i.e. for 7731,1642 is 1

LCM of denominators i.e. for 442,148 is 32708.

Thus, GCF of Fractions is 1/32708.Finally, GCF of Fractions for 7731/442, 1642/148 is 1/32708.