Greatest Common Factor of 2854/720, 4554/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2854/720, 4554/810

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 2854/720,4554/810

Given fractions are 2854/720,4554/810

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 2854,4554

Greatest Common Factor of Numerators i.e. GCF of 2854,4554 is 2 .

LCM of Denominators means LCM of 720,810 as per the given fractions.

LCM of 720,810 is 6480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2854,4554

GCF of Fractions 2854/720,4554/810 is 2/6480

2 2854, 4554
1427, 2277

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2854,4554 By Matching Biggest Common Factor Method

Greatest Common Factor of 2854,4554 By Matching Biggest Common Factor Method

Factors of 2854

List of positive integer factors of 2854 that divides 2854 without a remainder.

1,2,1427,2854

Factors of 4554

List of positive integer factors of 4554 that divides 4554 without a remainder.

1,2,3,6,9,11,18,22,23,33,46,66,69,99,138,198,207,253,414,506,759,1518,2277,4554

Greatest Common Factor

We found the factors 2854,4554 . The biggest common factor number is the GCF number.
So the greatest common factor 2854,4554 is 2.

Lets's calculate LCM of 720,810

2 720, 810
3 360, 405
3 120, 135
5 40, 45
8, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 8 x 9 = 6480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6480

Therefore, the GCF of Fractions 2854/720,4554/810 is 2/6480

Least Common Multiple of 720,810 with GCF Formula

Least Common Multiple of 720,810 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 720,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,810) = 90

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

GCF(720,810) x common factors =90 x 1 = 90

LCM(720,810) = ( 720 × 810 ) / 90

LCM(720,810) = 583200 / 90

LCM(720,810) = 6480


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 2854/720, 4554/810

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 2854/720, 4554/810?

Answer: GCF of Numerators as per given numbers 2854/720, 4554/810 is

GCF of Numerators i.e. for 2854,4554 is 2

LCM of denominators i.e. for 720,810 is 6480.

Thus, GCF of Fractions is 2/6480.Finally, GCF of Fractions for 2854/720, 4554/810 is 2/6480.