Greatest Common Factor of 3497/442, 4854/6414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3497/442, 4854/6414

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 3497/442,4854/6414

Given fractions are 3497/442,4854/6414

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 3497,4854

Greatest Common Factor of Numerators i.e. GCF of 3497,4854 is 1 .

LCM of Denominators means LCM of 442,6414 as per the given fractions.

LCM of 442,6414 is 1417494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3497,4854

GCF of Fractions 3497/442,4854/6414 is 1/1417494

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

Greatest Common Factor of 3497,4854 By Matching Biggest Common Factor Method

Greatest Common Factor of 3497,4854 By Matching Biggest Common Factor Method

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1,13,269,3497

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Greatest Common Factor

We found the factors 3497,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 3497,4854 is 1.

Lets's calculate LCM of 442,6414

2 442, 6414
221, 3207

∴ So the LCM of the given numbers is 2 x 221 x 3207 = 1417494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1417494

Therefore, the GCF of Fractions 3497/442,4854/6414 is 1/1417494

Least Common Multiple of 442,6414 with GCF Formula

Least Common Multiple of 442,6414 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 442,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,6414) = 2

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

GCF(442,6414) x common factors =2 x 1 = 2

LCM(442,6414) = ( 442 × 6414 ) / 2

LCM(442,6414) = 2834988 / 2

LCM(442,6414) = 1417494


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 3497/442, 4854/6414

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 3497/442, 4854/6414?

Answer: GCF of Numerators as per given numbers 3497/442, 4854/6414 is

GCF of Numerators i.e. for 3497,4854 is 1

LCM of denominators i.e. for 442,6414 is 1417494.

Thus, GCF of Fractions is 1/1417494.Finally, GCF of Fractions for 3497/442, 4854/6414 is 1/1417494.