GCF of 9885/130, 8694/4273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9885/130, 8694/4273 i.e 3/555490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9885/130, 8694/4273.
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 9885/130,8694/4273?
Given fractions are 9885/130,8694/4273
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 9885/130,8694/4273, numerators are 9885,8694
Denominators are 130,4273
The GCF of 9885,8694 is 3 .
LCM of 130,4273 is 555490.
The greatest common factor of 9885/130,8694/4273 = [GCF of 9885,8694]/[LCM of 130,4273]= 3/555490
Therefore, the GCF of 9885/130,8694/4273 is 3/555490.
To find the highest common factor of 9885,8694, 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 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 9885,8694 is 3.
Lets's calculate GCF of 9885,8694
| 3 | 9885, 8694 |
| 3295, 2898 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9885,8694 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 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 9885,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 9885,8694 is 3.
Lets's calculate LCM of 130,4273
Given numbers has no common factors except 1. So, there LCM is their product i.e 555490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/555490
Therefore, the GCF of Fractions 9885/130,8694/4273 is 3/555490
Least Common Multiple of 130,4273 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 130,4273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,4273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,4273) x common factors =1 x 1 = 1
LCM(130,4273) = ( 130 × 4273 ) / 1
LCM(130,4273) = 555490 / 1
LCM(130,4273) = 555490
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FAQs on GCF of Fractions of 9885/130, 8694/4273
1. What is the HCF of 9885,8694?
The HCF of 9885,8694 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 9885/130, 8694/4273?
Answer: GCF of Numerators as per given numbers 9885/130, 8694/4273 is
GCF of Numerators i.e. for 9885,8694 is 3
LCM of denominators i.e. for 130,4273 is 555490.
Thus, GCF of Fractions is 3/555490.Finally, GCF of Fractions for 9885/130, 8694/4273 is 3/555490.