Greatest Common Factor of 9504/847, 7842/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9504/847, 7842/600

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 9504/847,7842/600

Given fractions are 9504/847,7842/600

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 9504,7842

Greatest Common Factor of Numerators i.e. GCF of 9504,7842 is 6 .

LCM of Denominators means LCM of 847,600 as per the given fractions.

LCM of 847,600 is 508200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9504,7842

GCF of Fractions 9504/847,7842/600 is 6/508200

2 9504, 7842
3 4752, 3921
1584, 1307

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9504,7842 By Matching Biggest Common Factor Method

Greatest Common Factor of 9504,7842 By Matching Biggest Common Factor Method

Factors of 9504

List of positive integer factors of 9504 that divides 9504 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1,2,3,6,1307,2614,3921,7842

Greatest Common Factor

We found the factors 9504,7842 . The biggest common factor number is the GCF number.
So the greatest common factor 9504,7842 is 6.

Lets's calculate LCM of 847,600

Given numbers has no common factors except 1. So, there LCM is their product i.e 508200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/508200

Therefore, the GCF of Fractions 9504/847,7842/600 is 6/508200

Least Common Multiple of 847,600 with GCF Formula

Least Common Multiple of 847,600 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 847,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,600) = 1

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

GCF(847,600) x common factors =1 x 1 = 1

LCM(847,600) = ( 847 × 600 ) / 1

LCM(847,600) = 508200 / 1

LCM(847,600) = 508200


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 9504/847, 7842/600

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 9504/847, 7842/600?

Answer: GCF of Numerators as per given numbers 9504/847, 7842/600 is

GCF of Numerators i.e. for 9504,7842 is 6

LCM of denominators i.e. for 847,600 is 508200.

Thus, GCF of Fractions is 6/508200.Finally, GCF of Fractions for 9504/847, 7842/600 is 6/508200.