Greatest Common Factor of 549/4989, 880/4071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/4989, 880/4071

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 549/4989,880/4071

Given fractions are 549/4989,880/4071

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 549,880

Greatest Common Factor of Numerators i.e. GCF of 549,880 is 1 .

LCM of Denominators means LCM of 4989,4071 as per the given fractions.

LCM of 4989,4071 is 6770073 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,880

GCF of Fractions 549/4989,880/4071 is 1/6770073

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

Greatest Common Factor of 549,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,880 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 549,880 . The biggest common factor number is the GCF number.
So the greatest common factor 549,880 is 1.

Lets's calculate LCM of 4989,4071

3 4989, 4071
1663, 1357

∴ So the LCM of the given numbers is 3 x 1663 x 1357 = 6770073

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6770073

Therefore, the GCF of Fractions 549/4989,880/4071 is 1/6770073

Least Common Multiple of 4989,4071 with GCF Formula

Least Common Multiple of 4989,4071 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 4989,4071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4989,4071) = 3

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

GCF(4989,4071) x common factors =3 x 1 = 3

LCM(4989,4071) = ( 4989 × 4071 ) / 3

LCM(4989,4071) = 20310219 / 3

LCM(4989,4071) = 6770073


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 549/4989, 880/4071

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 549/4989, 880/4071?

Answer: GCF of Numerators as per given numbers 549/4989, 880/4071 is

GCF of Numerators i.e. for 549,880 is 1

LCM of denominators i.e. for 4989,4071 is 6770073.

Thus, GCF of Fractions is 1/6770073.Finally, GCF of Fractions for 549/4989, 880/4071 is 1/6770073.