Greatest Common Factor of 7800/405, 5034/7014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7800/405, 5034/7014

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 7800/405,5034/7014

Given fractions are 7800/405,5034/7014

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 7800,5034

Greatest Common Factor of Numerators i.e. GCF of 7800,5034 is 6 .

LCM of Denominators means LCM of 405,7014 as per the given fractions.

LCM of 405,7014 is 946890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7800,5034

GCF of Fractions 7800/405,5034/7014 is 6/946890

2 7800, 5034
3 3900, 2517
1300, 839

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

Greatest Common Factor of 7800,5034 By Matching Biggest Common Factor Method

Greatest Common Factor of 7800,5034 By Matching Biggest Common Factor Method

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Factors of 5034

List of positive integer factors of 5034 that divides 5034 without a remainder.

1,2,3,6,839,1678,2517,5034

Greatest Common Factor

We found the factors 7800,5034 . The biggest common factor number is the GCF number.
So the greatest common factor 7800,5034 is 6.

Lets's calculate LCM of 405,7014

3 405, 7014
135, 2338

∴ So the LCM of the given numbers is 3 x 135 x 2338 = 946890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/946890

Therefore, the GCF of Fractions 7800/405,5034/7014 is 6/946890

Least Common Multiple of 405,7014 with GCF Formula

Least Common Multiple of 405,7014 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 405,7014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,7014) = 3

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

GCF(405,7014) x common factors =3 x 1 = 3

LCM(405,7014) = ( 405 × 7014 ) / 3

LCM(405,7014) = 2840670 / 3

LCM(405,7014) = 946890


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 7800/405, 5034/7014

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 7800/405, 5034/7014?

Answer: GCF of Numerators as per given numbers 7800/405, 5034/7014 is

GCF of Numerators i.e. for 7800,5034 is 6

LCM of denominators i.e. for 405,7014 is 946890.

Thus, GCF of Fractions is 6/946890.Finally, GCF of Fractions for 7800/405, 5034/7014 is 6/946890.