GCF of 1287/135, 9864/699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1287/135, 9864/699 i.e 9/31455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1287/135, 9864/699.
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 1287/135,9864/699?
Given fractions are 1287/135,9864/699
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 1287/135,9864/699, numerators are 1287,9864
Denominators are 135,699
The GCF of 1287,9864 is 9 .
LCM of 135,699 is 31455.
The greatest common factor of 1287/135,9864/699 = [GCF of 1287,9864]/[LCM of 135,699]= 9/31455
Therefore, the GCF of 1287/135,9864/699 is 9/31455.
To find the highest common factor of 1287,9864, we have to find the factors of both numbers and list the highest common factor.
The factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The HCF of 1287,9864 is 9.
Lets's calculate GCF of 1287,9864
| 3 | 1287, 9864 |
| 3 | 429, 3288 |
| 143, 1096 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1287,9864 By Matching Biggest Common Factor Method
Now, list down the factors of 1287
:1,3,9,11,13,33,39,99,117,143,429,1287
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors 1287,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 1287,9864 is 9.
Lets's calculate LCM of 135,699
| 3 | 135, 699 |
| 45, 233 |
∴ So the LCM of the given numbers is 3 x 45 x 233 = 31455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/31455
Therefore, the GCF of Fractions 1287/135,9864/699 is 9/31455
Least Common Multiple of 135,699 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 135,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(135,699) x common factors =3 x 1 = 3
LCM(135,699) = ( 135 × 699 ) / 3
LCM(135,699) = 94365 / 3
LCM(135,699) = 31455
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FAQs on GCF of Fractions of 1287/135, 9864/699
1. What is the HCF of 1287,9864?
The HCF of 1287,9864 is 9
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 1287/135, 9864/699?
Answer: GCF of Numerators as per given numbers 1287/135, 9864/699 is
GCF of Numerators i.e. for 1287,9864 is 9
LCM of denominators i.e. for 135,699 is 31455.
Thus, GCF of Fractions is 9/31455.Finally, GCF of Fractions for 1287/135, 9864/699 is 9/31455.