GCF of 3484/489, 9900/8808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3484/489, 9900/8808 i.e 4/1435704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3484/489, 9900/8808.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3484/489,9900/8808?
Given fractions are 3484/489,9900/8808
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3484/489,9900/8808, numerators are 3484,9900
Denominators are 489,8808
The GCF of 3484,9900 is 4 .
LCM of 489,8808 is 1435704.
The greatest common factor of 3484/489,9900/8808 = [GCF of 3484,9900]/[LCM of 489,8808]= 4/1435704
Therefore, the GCF of 3484/489,9900/8808 is 4/1435704.
To find the highest common factor of 3484,9900, we have to find the factors of both numbers and list the highest common factor.
The factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
The HCF of 3484,9900 is 4.
Lets's calculate GCF of 3484,9900
| 2 | 3484, 9900 |
| 2 | 1742, 4950 |
| 871, 2475 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3484,9900 By Matching Biggest Common Factor Method
Now, list down the factors of 3484
:1,2,4,13,26,52,67,134,268,871,1742,3484
Now, list down the factors of 9900
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 3484,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 3484,9900 is 4.
Lets's calculate LCM of 489,8808
| 3 | 489, 8808 |
| 163, 2936 |
∴ So the LCM of the given numbers is 3 x 163 x 2936 = 1435704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1435704
Therefore, the GCF of Fractions 3484/489,9900/8808 is 4/1435704
Least Common Multiple of 489,8808 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 489,8808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,8808) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,8808) x common factors =3 x 1 = 3
LCM(489,8808) = ( 489 × 8808 ) / 3
LCM(489,8808) = 4307112 / 3
LCM(489,8808) = 1435704
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FAQs on GCF of Fractions of 3484/489, 9900/8808
1. What is the HCF of 3484,9900?
The HCF of 3484,9900 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 3484/489, 9900/8808?
Answer: GCF of Numerators as per given numbers 3484/489, 9900/8808 is
GCF of Numerators i.e. for 3484,9900 is 4
LCM of denominators i.e. for 489,8808 is 1435704.
Thus, GCF of Fractions is 4/1435704.Finally, GCF of Fractions for 3484/489, 9900/8808 is 4/1435704.