GCF of 8880/501, 9321/9669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8880/501, 9321/9669 i.e 3/1614723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8880/501, 9321/9669.
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 8880/501,9321/9669?
Given fractions are 8880/501,9321/9669
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 8880/501,9321/9669, numerators are 8880,9321
Denominators are 501,9669
The GCF of 8880,9321 is 3 .
LCM of 501,9669 is 1614723.
The greatest common factor of 8880/501,9321/9669 = [GCF of 8880,9321]/[LCM of 501,9669]= 3/1614723
Therefore, the GCF of 8880/501,9321/9669 is 3/1614723.
To find the highest common factor of 8880,9321, we have to find the factors of both numbers and list the highest common factor.
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321
The HCF of 8880,9321 is 3.
Lets's calculate GCF of 8880,9321
| 3 | 8880, 9321 |
| 2960, 3107 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8880,9321 By Matching Biggest Common Factor Method
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Now, list down the factors of 9321
:1,3,13,39,239,717,3107,9321
Greatest Common Factor
We found the factors 8880,9321 . The biggest common factor number is the GCF number.
So the greatest common factor 8880,9321 is 3.
Lets's calculate LCM of 501,9669
| 3 | 501, 9669 |
| 167, 3223 |
∴ So the LCM of the given numbers is 3 x 167 x 3223 = 1614723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1614723
Therefore, the GCF of Fractions 8880/501,9321/9669 is 3/1614723
Least Common Multiple of 501,9669 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 501,9669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,9669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,9669) x common factors =3 x 1 = 3
LCM(501,9669) = ( 501 × 9669 ) / 3
LCM(501,9669) = 4844169 / 3
LCM(501,9669) = 1614723
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FAQs on GCF of Fractions of 8880/501, 9321/9669
1. What is the HCF of 8880,9321?
The HCF of 8880,9321 is 3
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 8880/501, 9321/9669?
Answer: GCF of Numerators as per given numbers 8880/501, 9321/9669 is
GCF of Numerators i.e. for 8880,9321 is 3
LCM of denominators i.e. for 501,9669 is 1614723.
Thus, GCF of Fractions is 3/1614723.Finally, GCF of Fractions for 8880/501, 9321/9669 is 3/1614723.