Greatest Common Factor of 8673/296, 9516/1755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8673/296, 9516/1755

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 8673/296,9516/1755

Given fractions are 8673/296,9516/1755

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 8673,9516

Greatest Common Factor of Numerators i.e. GCF of 8673,9516 is 3 .

LCM of Denominators means LCM of 296,1755 as per the given fractions.

LCM of 296,1755 is 519480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8673,9516

GCF of Fractions 8673/296,9516/1755 is 3/519480

3 8673, 9516
2891, 3172

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

Greatest Common Factor of 8673,9516 By Matching Biggest Common Factor Method

Greatest Common Factor of 8673,9516 By Matching Biggest Common Factor Method

Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1,3,7,21,49,59,147,177,413,1239,2891,8673

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Greatest Common Factor

We found the factors 8673,9516 . The biggest common factor number is the GCF number.
So the greatest common factor 8673,9516 is 3.

Lets's calculate LCM of 296,1755

Given numbers has no common factors except 1. So, there LCM is their product i.e 519480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/519480

Therefore, the GCF of Fractions 8673/296,9516/1755 is 3/519480

Least Common Multiple of 296,1755 with GCF Formula

Least Common Multiple of 296,1755 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 296,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,1755) = 1

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

GCF(296,1755) x common factors =1 x 1 = 1

LCM(296,1755) = ( 296 × 1755 ) / 1

LCM(296,1755) = 519480 / 1

LCM(296,1755) = 519480


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 8673/296, 9516/1755

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 8673/296, 9516/1755?

Answer: GCF of Numerators as per given numbers 8673/296, 9516/1755 is

GCF of Numerators i.e. for 8673,9516 is 3

LCM of denominators i.e. for 296,1755 is 519480.

Thus, GCF of Fractions is 3/519480.Finally, GCF of Fractions for 8673/296, 9516/1755 is 3/519480.