Greatest Common Factor of 9978/732, 8490/3544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9978/732, 8490/3544

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 9978/732,8490/3544

Given fractions are 9978/732,8490/3544

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 9978,8490

Greatest Common Factor of Numerators i.e. GCF of 9978,8490 is 6 .

LCM of Denominators means LCM of 732,3544 as per the given fractions.

LCM of 732,3544 is 648552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9978,8490

GCF of Fractions 9978/732,8490/3544 is 6/648552

2 9978, 8490
3 4989, 4245
1663, 1415

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

Greatest Common Factor of 9978,8490 By Matching Biggest Common Factor Method

Greatest Common Factor of 9978,8490 By Matching Biggest Common Factor Method

Factors of 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1,2,3,6,1663,3326,4989,9978

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Greatest Common Factor

We found the factors 9978,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 9978,8490 is 6.

Lets's calculate LCM of 732,3544

2 732, 3544
2 366, 1772
183, 886

∴ So the LCM of the given numbers is 2 x 2 x 183 x 886 = 648552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/648552

Therefore, the GCF of Fractions 9978/732,8490/3544 is 6/648552

Least Common Multiple of 732,3544 with GCF Formula

Least Common Multiple of 732,3544 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 732,3544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,3544) = 4

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

GCF(732,3544) x common factors =4 x 1 = 4

LCM(732,3544) = ( 732 × 3544 ) / 4

LCM(732,3544) = 2594208 / 4

LCM(732,3544) = 648552


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 9978/732, 8490/3544

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 9978/732, 8490/3544?

Answer: GCF of Numerators as per given numbers 9978/732, 8490/3544 is

GCF of Numerators i.e. for 9978,8490 is 6

LCM of denominators i.e. for 732,3544 is 648552.

Thus, GCF of Fractions is 6/648552.Finally, GCF of Fractions for 9978/732, 8490/3544 is 6/648552.