Greatest Common Factor of 7854/774, 4505/2064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7854/774, 4505/2064

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 7854/774,4505/2064

Given fractions are 7854/774,4505/2064

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 7854,4505

Greatest Common Factor of Numerators i.e. GCF of 7854,4505 is 17 .

LCM of Denominators means LCM of 774,2064 as per the given fractions.

LCM of 774,2064 is 6192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7854,4505

GCF of Fractions 7854/774,4505/2064 is 17/6192

17 7854, 4505
462, 265

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7854,4505 By Matching Biggest Common Factor Method

Greatest Common Factor of 7854,4505 By Matching Biggest Common Factor Method

Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854

Factors of 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1,5,17,53,85,265,901,4505

Greatest Common Factor

We found the factors 7854,4505 . The biggest common factor number is the GCF number.
So the greatest common factor 7854,4505 is 17.

Lets's calculate LCM of 774,2064

2 774, 2064
3 387, 1032
43 129, 344
3, 8

∴ So the LCM of the given numbers is 2 x 3 x 43 x 3 x 8 = 6192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6192

Therefore, the GCF of Fractions 7854/774,4505/2064 is 17/6192

Least Common Multiple of 774,2064 with GCF Formula

Least Common Multiple of 774,2064 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 774,2064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,2064) = 258

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

GCF(774,2064) x common factors =258 x 1 = 258

LCM(774,2064) = ( 774 × 2064 ) / 258

LCM(774,2064) = 1597536 / 258

LCM(774,2064) = 6192


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 7854/774, 4505/2064

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 7854/774, 4505/2064?

Answer: GCF of Numerators as per given numbers 7854/774, 4505/2064 is

GCF of Numerators i.e. for 7854,4505 is 17

LCM of denominators i.e. for 774,2064 is 6192.

Thus, GCF of Fractions is 17/6192.Finally, GCF of Fractions for 7854/774, 4505/2064 is 17/6192.