Greatest Common Factor of 1805/684, 8759/8832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1805/684, 8759/8832

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 1805/684,8759/8832

Given fractions are 1805/684,8759/8832

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 1805,8759

Greatest Common Factor of Numerators i.e. GCF of 1805,8759 is 19 .

LCM of Denominators means LCM of 684,8832 as per the given fractions.

LCM of 684,8832 is 503424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1805,8759

GCF of Fractions 1805/684,8759/8832 is 19/503424

19 1805, 8759
95, 461

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 1805,8759 By Matching Biggest Common Factor Method

Greatest Common Factor of 1805,8759 By Matching Biggest Common Factor Method

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1,5,19,95,361,1805

Factors of 8759

List of positive integer factors of 8759 that divides 8759 without a remainder.

1,19,461,8759

Greatest Common Factor

We found the factors 1805,8759 . The biggest common factor number is the GCF number.
So the greatest common factor 1805,8759 is 19.

Lets's calculate LCM of 684,8832

2 684, 8832
2 342, 4416
3 171, 2208
57, 736

∴ So the LCM of the given numbers is 2 x 2 x 3 x 57 x 736 = 503424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/503424

Therefore, the GCF of Fractions 1805/684,8759/8832 is 19/503424

Least Common Multiple of 684,8832 with GCF Formula

Least Common Multiple of 684,8832 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 684,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,8832) = 12

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

GCF(684,8832) x common factors =12 x 1 = 12

LCM(684,8832) = ( 684 × 8832 ) / 12

LCM(684,8832) = 6041088 / 12

LCM(684,8832) = 503424


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 1805/684, 8759/8832

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 1805/684, 8759/8832?

Answer: GCF of Numerators as per given numbers 1805/684, 8759/8832 is

GCF of Numerators i.e. for 1805,8759 is 19

LCM of denominators i.e. for 684,8832 is 503424.

Thus, GCF of Fractions is 19/503424.Finally, GCF of Fractions for 1805/684, 8759/8832 is 19/503424.