Greatest Common Factor of 7548/705, 8733/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7548/705, 8733/410

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 7548/705,8733/410

Given fractions are 7548/705,8733/410

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 7548,8733

Greatest Common Factor of Numerators i.e. GCF of 7548,8733 is 3 .

LCM of Denominators means LCM of 705,410 as per the given fractions.

LCM of 705,410 is 57810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7548,8733

GCF of Fractions 7548/705,8733/410 is 3/57810

3 7548, 8733
2516, 2911

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7548,8733 By Matching Biggest Common Factor Method

Greatest Common Factor of 7548,8733 By Matching Biggest Common Factor Method

Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548

Factors of 8733

List of positive integer factors of 8733 that divides 8733 without a remainder.

1,3,41,71,123,213,2911,8733

Greatest Common Factor

We found the factors 7548,8733 . The biggest common factor number is the GCF number.
So the greatest common factor 7548,8733 is 3.

Lets's calculate LCM of 705,410

5 705, 410
141, 82

∴ So the LCM of the given numbers is 5 x 141 x 82 = 57810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57810

Therefore, the GCF of Fractions 7548/705,8733/410 is 3/57810

Least Common Multiple of 705,410 with GCF Formula

Least Common Multiple of 705,410 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 705,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,410) = 5

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

GCF(705,410) x common factors =5 x 1 = 5

LCM(705,410) = ( 705 × 410 ) / 5

LCM(705,410) = 289050 / 5

LCM(705,410) = 57810


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 7548/705, 8733/410

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 7548/705, 8733/410?

Answer: GCF of Numerators as per given numbers 7548/705, 8733/410 is

GCF of Numerators i.e. for 7548,8733 is 3

LCM of denominators i.e. for 705,410 is 57810.

Thus, GCF of Fractions is 3/57810.Finally, GCF of Fractions for 7548/705, 8733/410 is 3/57810.