Greatest Common Factor of 7704/435, 8456/7509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7704/435, 8456/7509

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 7704/435,8456/7509

Given fractions are 7704/435,8456/7509

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 7704,8456

Greatest Common Factor of Numerators i.e. GCF of 7704,8456 is 8 .

LCM of Denominators means LCM of 435,7509 as per the given fractions.

LCM of 435,7509 is 1088805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7704,8456

GCF of Fractions 7704/435,8456/7509 is 8/1088805

2 7704, 8456
2 3852, 4228
2 1926, 2114
963, 1057

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7704,8456 By Matching Biggest Common Factor Method

Greatest Common Factor of 7704,8456 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 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors 7704,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 7704,8456 is 8.

Lets's calculate LCM of 435,7509

3 435, 7509
145, 2503

∴ So the LCM of the given numbers is 3 x 145 x 2503 = 1088805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1088805

Therefore, the GCF of Fractions 7704/435,8456/7509 is 8/1088805

Least Common Multiple of 435,7509 with GCF Formula

Least Common Multiple of 435,7509 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 435,7509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,7509) = 3

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

GCF(435,7509) x common factors =3 x 1 = 3

LCM(435,7509) = ( 435 × 7509 ) / 3

LCM(435,7509) = 3266415 / 3

LCM(435,7509) = 1088805


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 7704/435, 8456/7509

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 7704/435, 8456/7509?

Answer: GCF of Numerators as per given numbers 7704/435, 8456/7509 is

GCF of Numerators i.e. for 7704,8456 is 8

LCM of denominators i.e. for 435,7509 is 1088805.

Thus, GCF of Fractions is 8/1088805.Finally, GCF of Fractions for 7704/435, 8456/7509 is 8/1088805.