Greatest Common Factor of 1218/802, 1476/5730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1218/802, 1476/5730

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 1218/802,1476/5730

Given fractions are 1218/802,1476/5730

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 1218,1476

Greatest Common Factor of Numerators i.e. GCF of 1218,1476 is 6 .

LCM of Denominators means LCM of 802,5730 as per the given fractions.

LCM of 802,5730 is 2297730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1218,1476

GCF of Fractions 1218/802,1476/5730 is 6/2297730

2 1218, 1476
3 609, 738
203, 246

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1218,1476 By Matching Biggest Common Factor Method

Greatest Common Factor of 1218,1476 By Matching Biggest Common Factor Method

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1,2,3,4,6,9,12,18,36,41,82,123,164,246,369,492,738,1476

Greatest Common Factor

We found the factors 1218,1476 . The biggest common factor number is the GCF number.
So the greatest common factor 1218,1476 is 6.

Lets's calculate LCM of 802,5730

2 802, 5730
401, 2865

∴ So the LCM of the given numbers is 2 x 401 x 2865 = 2297730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2297730

Therefore, the GCF of Fractions 1218/802,1476/5730 is 6/2297730

Least Common Multiple of 802,5730 with GCF Formula

Least Common Multiple of 802,5730 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 802,5730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,5730) = 2

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

GCF(802,5730) x common factors =2 x 1 = 2

LCM(802,5730) = ( 802 × 5730 ) / 2

LCM(802,5730) = 4595460 / 2

LCM(802,5730) = 2297730


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 1218/802, 1476/5730

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 1218/802, 1476/5730?

Answer: GCF of Numerators as per given numbers 1218/802, 1476/5730 is

GCF of Numerators i.e. for 1218,1476 is 6

LCM of denominators i.e. for 802,5730 is 2297730.

Thus, GCF of Fractions is 6/2297730.Finally, GCF of Fractions for 1218/802, 1476/5730 is 6/2297730.