GCF of 3/63, 381/60, 816/78
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/63, 381/60, 816/78 i.e 3/16380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/63, 381/60, 816/78.
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 3/63,381/60,816/78?
Given fractions are 3/63,381/60,816/78
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 3/63,381/60,816/78, numerators are 3,381,816
Denominators are 63,60,78
The GCF of 3,381,816 is 3 .
LCM of 63,60,78 is 16380.
The greatest common factor of 3/63,381/60,816/78 = [GCF of 3,381,816]/[LCM of 63,60,78]= 3/16380
Therefore, the GCF of 3/63,381/60,816/78 is 3/16380.
To find the highest common factor of 3,381,816, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 381 are 1, 3, 127, 381
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The HCF of 3,381,816 is 3.
Lets's calculate GCF of 3,381,816
| 3 | 3, 381, 816 |
| 1, 127, 272 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3,381,816 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 381
:1,3,127,381
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 3,381,816 . The biggest common factor number is the GCF number.
So the greatest common factor 3,381,816 is 3.
Lets's calculate LCM of 63,60,78
| 2 | 63, 60, 78 |
| 3 | 63, 30, 39 |
| 21, 10, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 10 x 13 = 16380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16380
Therefore, the GCF of Fractions 3/63,381/60,816/78 is 3/16380
Least Common Multiple of 63,60,78 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 63,60,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,60,78) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(63,60,78) x common factors =3 x 6 = 18
LCM(63,60,78) = ( 63 × 60 × 78 ) / 18
LCM(63,60,78) = 294840 / 18
LCM(63,60,78) = 16380
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FAQs on GCF of Fractions of 3/63, 381/60, 816/78
1. What is the HCF of 3,381,816?
The HCF of 3,381,816 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 3/63, 381/60, 816/78?
Answer: GCF of Numerators as per given numbers 3/63, 381/60, 816/78 is
GCF of Numerators i.e. for 3,381,816 is 3
LCM of denominators i.e. for 63,60,78 is 16380.
Thus, GCF of Fractions is 3/16380.Finally, GCF of Fractions for 3/63, 381/60, 816/78 is 3/16380.