GCF of 9288/814, 3207/9156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9288/814, 3207/9156 i.e 3/3726492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9288/814, 3207/9156.
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 9288/814,3207/9156?
Given fractions are 9288/814,3207/9156
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 9288/814,3207/9156, numerators are 9288,3207
Denominators are 814,9156
The GCF of 9288,3207 is 3 .
LCM of 814,9156 is 3726492.
The greatest common factor of 9288/814,3207/9156 = [GCF of 9288,3207]/[LCM of 814,9156]= 3/3726492
Therefore, the GCF of 9288/814,3207/9156 is 3/3726492.
To find the highest common factor of 9288,3207, we have to find the factors of both numbers and list the highest common factor.
The factors of 9288 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644, 9288
The factors of 3207 are 1, 3, 1069, 3207
The HCF of 9288,3207 is 3.
Lets's calculate GCF of 9288,3207
| 3 | 9288, 3207 |
| 3096, 1069 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9288,3207 By Matching Biggest Common Factor Method
Now, list down the factors of 9288
:1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288
Now, list down the factors of 3207
:1,3,1069,3207
Greatest Common Factor
We found the factors 9288,3207 . The biggest common factor number is the GCF number.
So the greatest common factor 9288,3207 is 3.
Lets's calculate LCM of 814,9156
| 2 | 814, 9156 |
| 407, 4578 |
∴ So the LCM of the given numbers is 2 x 407 x 4578 = 3726492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3726492
Therefore, the GCF of Fractions 9288/814,3207/9156 is 3/3726492
Least Common Multiple of 814,9156 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 814,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,9156) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,9156) x common factors =2 x 1 = 2
LCM(814,9156) = ( 814 × 9156 ) / 2
LCM(814,9156) = 7452984 / 2
LCM(814,9156) = 3726492
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FAQs on GCF of Fractions of 9288/814, 3207/9156
1. What is the HCF of 9288,3207?
The HCF of 9288,3207 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 9288/814, 3207/9156?
Answer: GCF of Numerators as per given numbers 9288/814, 3207/9156 is
GCF of Numerators i.e. for 9288,3207 is 3
LCM of denominators i.e. for 814,9156 is 3726492.
Thus, GCF of Fractions is 3/3726492.Finally, GCF of Fractions for 9288/814, 3207/9156 is 3/3726492.