GCF of 866/912, 411/501, 330/192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/912, 411/501, 330/192 i.e 1/609216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/912, 411/501, 330/192.
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 866/912,411/501,330/192?
Given fractions are 866/912,411/501,330/192
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 866/912,411/501,330/192, numerators are 866,411,330
Denominators are 912,501,192
The GCF of 866,411,330 is 1 .
LCM of 912,501,192 is 609216.
The greatest common factor of 866/912,411/501,330/192 = [GCF of 866,411,330]/[LCM of 912,501,192]= 1/609216
Therefore, the GCF of 866/912,411/501,330/192 is 1/609216.
To find the highest common factor of 866,411,330, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 411 are 1, 3, 137, 411
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The HCF of 866,411,330 is 1.
Lets's calculate GCF of 866,411,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 866,411,330 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 866,411,330 . The biggest common factor number is the GCF number.
So the greatest common factor 866,411,330 is 1.
Lets's calculate LCM of 912,501,192
| 2 | 912, 501, 192 |
| 2 | 456, 501, 96 |
| 2 | 228, 501, 48 |
| 2 | 114, 501, 24 |
| 3 | 57, 501, 12 |
| 19, 167, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 167 x 4 = 609216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609216
Therefore, the GCF of Fractions 866/912,411/501,330/192 is 1/609216
Least Common Multiple of 912,501,192 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 912,501,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,501,192) = 3
common factors(in case of two or more numbers have common factors) = 48
GCF(912,501,192) x common factors =3 x 48 = 144
LCM(912,501,192) = ( 912 × 501 × 192 ) / 144
LCM(912,501,192) = 87727104 / 144
LCM(912,501,192) = 609216
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FAQs on GCF of Fractions of 866/912, 411/501, 330/192
1. What is the HCF of 866,411,330?
The HCF of 866,411,330 is 1
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 866/912, 411/501, 330/192?
Answer: GCF of Numerators as per given numbers 866/912, 411/501, 330/192 is
GCF of Numerators i.e. for 866,411,330 is 1
LCM of denominators i.e. for 912,501,192 is 609216.
Thus, GCF of Fractions is 1/609216.Finally, GCF of Fractions for 866/912, 411/501, 330/192 is 1/609216.