GCF of 8151/207, 8112/2919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8151/207, 8112/2919 i.e 39/201411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8151/207, 8112/2919.
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 8151/207,8112/2919?
Given fractions are 8151/207,8112/2919
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 8151/207,8112/2919, numerators are 8151,8112
Denominators are 207,2919
The GCF of 8151,8112 is 39 .
LCM of 207,2919 is 201411.
The greatest common factor of 8151/207,8112/2919 = [GCF of 8151,8112]/[LCM of 207,2919]= 39/201411
Therefore, the GCF of 8151/207,8112/2919 is 39/201411.
To find the highest common factor of 8151,8112, we have to find the factors of both numbers and list the highest common factor.
The factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151
The factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112
The HCF of 8151,8112 is 39.
Lets's calculate GCF of 8151,8112
| 3 | 8151, 8112 |
| 13 | 2717, 2704 |
| 209, 208 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 8151,8112 By Matching Biggest Common Factor Method
Now, list down the factors of 8151
:1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Now, list down the factors of 8112
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112
Greatest Common Factor
We found the factors 8151,8112 . The biggest common factor number is the GCF number.
So the greatest common factor 8151,8112 is 39.
Lets's calculate LCM of 207,2919
| 3 | 207, 2919 |
| 69, 973 |
∴ So the LCM of the given numbers is 3 x 69 x 973 = 201411
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/201411
Therefore, the GCF of Fractions 8151/207,8112/2919 is 39/201411
Least Common Multiple of 207,2919 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 207,2919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,2919) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(207,2919) x common factors =3 x 1 = 3
LCM(207,2919) = ( 207 × 2919 ) / 3
LCM(207,2919) = 604233 / 3
LCM(207,2919) = 201411
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FAQs on GCF of Fractions of 8151/207, 8112/2919
1. What is the HCF of 8151,8112?
The HCF of 8151,8112 is 39
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 8151/207, 8112/2919?
Answer: GCF of Numerators as per given numbers 8151/207, 8112/2919 is
GCF of Numerators i.e. for 8151,8112 is 39
LCM of denominators i.e. for 207,2919 is 201411.
Thus, GCF of Fractions is 39/201411.Finally, GCF of Fractions for 8151/207, 8112/2919 is 39/201411.