Greatest Common Factor of 49/487, 4514/6801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/487, 4514/6801

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 49/487,4514/6801

Given fractions are 49/487,4514/6801

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 49,4514

Greatest Common Factor of Numerators i.e. GCF of 49,4514 is 1 .

LCM of Denominators means LCM of 487,6801 as per the given fractions.

LCM of 487,6801 is 3312087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,4514

GCF of Fractions 49/487,4514/6801 is 1/3312087

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

Greatest Common Factor of 49,4514 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,4514 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 4514

List of positive integer factors of 4514 that divides 4514 without a remainder.

1,2,37,61,74,122,2257,4514

Greatest Common Factor

We found the factors 49,4514 . The biggest common factor number is the GCF number.
So the greatest common factor 49,4514 is 1.

Lets's calculate LCM of 487,6801

Given numbers has no common factors except 1. So, there LCM is their product i.e 3312087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3312087

Therefore, the GCF of Fractions 49/487,4514/6801 is 1/3312087

Least Common Multiple of 487,6801 with GCF Formula

Least Common Multiple of 487,6801 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 487,6801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,6801) = 1

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

GCF(487,6801) x common factors =1 x 1 = 1

LCM(487,6801) = ( 487 × 6801 ) / 1

LCM(487,6801) = 3312087 / 1

LCM(487,6801) = 3312087


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 49/487, 4514/6801

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 49/487, 4514/6801?

Answer: GCF of Numerators as per given numbers 49/487, 4514/6801 is

GCF of Numerators i.e. for 49,4514 is 1

LCM of denominators i.e. for 487,6801 is 3312087.

Thus, GCF of Fractions is 1/3312087.Finally, GCF of Fractions for 49/487, 4514/6801 is 1/3312087.