GCF of 9885/320, 8996/9970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9885/320, 8996/9970 i.e 1/319040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9885/320, 8996/9970.
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 9885/320,8996/9970?
Given fractions are 9885/320,8996/9970
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 9885/320,8996/9970, numerators are 9885,8996
Denominators are 320,9970
The GCF of 9885,8996 is 1 .
LCM of 320,9970 is 319040.
The greatest common factor of 9885/320,8996/9970 = [GCF of 9885,8996]/[LCM of 320,9970]= 1/319040
Therefore, the GCF of 9885/320,8996/9970 is 1/319040.
To find the highest common factor of 9885,8996, we have to find the factors of both numbers and list the highest common factor.
The factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885
The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996
The HCF of 9885,8996 is 1.
Lets's calculate GCF of 9885,8996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9885,8996 By Matching Biggest Common Factor Method
Now, list down the factors of 9885
:1,3,5,15,659,1977,3295,9885
Now, list down the factors of 8996
:1,2,4,13,26,52,173,346,692,2249,4498,8996
Greatest Common Factor
We found the factors 9885,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 9885,8996 is 1.
Lets's calculate LCM of 320,9970
| 2 | 320, 9970 |
| 5 | 160, 4985 |
| 32, 997 |
∴ So the LCM of the given numbers is 2 x 5 x 32 x 997 = 319040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319040
Therefore, the GCF of Fractions 9885/320,8996/9970 is 1/319040
Least Common Multiple of 320,9970 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 320,9970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,9970) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(320,9970) x common factors =10 x 1 = 10
LCM(320,9970) = ( 320 × 9970 ) / 10
LCM(320,9970) = 3190400 / 10
LCM(320,9970) = 319040
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FAQs on GCF of Fractions of 9885/320, 8996/9970
1. What is the HCF of 9885,8996?
The HCF of 9885,8996 is 1
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 9885/320, 8996/9970?
Answer: GCF of Numerators as per given numbers 9885/320, 8996/9970 is
GCF of Numerators i.e. for 9885,8996 is 1
LCM of denominators i.e. for 320,9970 is 319040.
Thus, GCF of Fractions is 1/319040.Finally, GCF of Fractions for 9885/320, 8996/9970 is 1/319040.