GCF of 9855/282, 9987/8354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9855/282, 9987/8354 i.e 3/1177914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9855/282, 9987/8354.
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 9855/282,9987/8354?
Given fractions are 9855/282,9987/8354
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 9855/282,9987/8354, numerators are 9855,9987
Denominators are 282,8354
The GCF of 9855,9987 is 3 .
LCM of 282,8354 is 1177914.
The greatest common factor of 9855/282,9987/8354 = [GCF of 9855,9987]/[LCM of 282,8354]= 3/1177914
Therefore, the GCF of 9855/282,9987/8354 is 3/1177914.
To find the highest common factor of 9855,9987, we have to find the factors of both numbers and list the highest common factor.
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The factors of 9987 are 1, 3, 3329, 9987
The HCF of 9855,9987 is 3.
Lets's calculate GCF of 9855,9987
| 3 | 9855, 9987 |
| 3285, 3329 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9855,9987 By Matching Biggest Common Factor Method
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Now, list down the factors of 9987
:1,3,3329,9987
Greatest Common Factor
We found the factors 9855,9987 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,9987 is 3.
Lets's calculate LCM of 282,8354
| 2 | 282, 8354 |
| 141, 4177 |
∴ So the LCM of the given numbers is 2 x 141 x 4177 = 1177914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1177914
Therefore, the GCF of Fractions 9855/282,9987/8354 is 3/1177914
Least Common Multiple of 282,8354 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 282,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,8354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,8354) x common factors =2 x 1 = 2
LCM(282,8354) = ( 282 × 8354 ) / 2
LCM(282,8354) = 2355828 / 2
LCM(282,8354) = 1177914
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FAQs on GCF of Fractions of 9855/282, 9987/8354
1. What is the HCF of 9855,9987?
The HCF of 9855,9987 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 9855/282, 9987/8354?
Answer: GCF of Numerators as per given numbers 9855/282, 9987/8354 is
GCF of Numerators i.e. for 9855,9987 is 3
LCM of denominators i.e. for 282,8354 is 1177914.
Thus, GCF of Fractions is 3/1177914.Finally, GCF of Fractions for 9855/282, 9987/8354 is 3/1177914.