Greatest Common Factor of 7704/719, 8976/4850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7704/719, 8976/4850

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 7704/719,8976/4850

Given fractions are 7704/719,8976/4850

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 7704,8976

Greatest Common Factor of Numerators i.e. GCF of 7704,8976 is 24 .

LCM of Denominators means LCM of 719,4850 as per the given fractions.

LCM of 719,4850 is 3487150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7704,8976

GCF of Fractions 7704/719,8976/4850 is 24/3487150

2 7704, 8976
2 3852, 4488
2 1926, 2244
3 963, 1122
321, 374

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 7704,8976 By Matching Biggest Common Factor Method

Greatest Common Factor of 7704,8976 By Matching Biggest Common Factor Method

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Greatest Common Factor

We found the factors 7704,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 7704,8976 is 24.

Lets's calculate LCM of 719,4850

Given numbers has no common factors except 1. So, there LCM is their product i.e 3487150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3487150

Therefore, the GCF of Fractions 7704/719,8976/4850 is 24/3487150

Least Common Multiple of 719,4850 with GCF Formula

Least Common Multiple of 719,4850 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 719,4850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,4850) = 1

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

GCF(719,4850) x common factors =1 x 1 = 1

LCM(719,4850) = ( 719 × 4850 ) / 1

LCM(719,4850) = 3487150 / 1

LCM(719,4850) = 3487150


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 7704/719, 8976/4850

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 7704/719, 8976/4850?

Answer: GCF of Numerators as per given numbers 7704/719, 8976/4850 is

GCF of Numerators i.e. for 7704,8976 is 24

LCM of denominators i.e. for 719,4850 is 3487150.

Thus, GCF of Fractions is 24/3487150.Finally, GCF of Fractions for 7704/719, 8976/4850 is 24/3487150.