Greatest Common Factor of 1681/402, 4882/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1681/402, 4882/735

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 1681/402,4882/735

Given fractions are 1681/402,4882/735

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 1681,4882

Greatest Common Factor of Numerators i.e. GCF of 1681,4882 is 1 .

LCM of Denominators means LCM of 402,735 as per the given fractions.

LCM of 402,735 is 98490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1681,4882

GCF of Fractions 1681/402,4882/735 is 1/98490

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

Greatest Common Factor of 1681,4882 By Matching Biggest Common Factor Method

Greatest Common Factor of 1681,4882 By Matching Biggest Common Factor Method

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1,41,1681

Factors of 4882

List of positive integer factors of 4882 that divides 4882 without a remainder.

1,2,2441,4882

Greatest Common Factor

We found the factors 1681,4882 . The biggest common factor number is the GCF number.
So the greatest common factor 1681,4882 is 1.

Lets's calculate LCM of 402,735

3 402, 735
134, 245

∴ So the LCM of the given numbers is 3 x 134 x 245 = 98490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98490

Therefore, the GCF of Fractions 1681/402,4882/735 is 1/98490

Least Common Multiple of 402,735 with GCF Formula

Least Common Multiple of 402,735 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 402,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,735) = 3

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

GCF(402,735) x common factors =3 x 1 = 3

LCM(402,735) = ( 402 × 735 ) / 3

LCM(402,735) = 295470 / 3

LCM(402,735) = 98490


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 1681/402, 4882/735

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 1681/402, 4882/735?

Answer: GCF of Numerators as per given numbers 1681/402, 4882/735 is

GCF of Numerators i.e. for 1681,4882 is 1

LCM of denominators i.e. for 402,735 is 98490.

Thus, GCF of Fractions is 1/98490.Finally, GCF of Fractions for 1681/402, 4882/735 is 1/98490.