GCF of 15/78, 15/96, 745/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 15/78, 15/96, 745/382 i.e 5/238368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/78, 15/96, 745/382.
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 15/78,15/96,745/382?
Given fractions are 15/78,15/96,745/382
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 15/78,15/96,745/382, numerators are 15,15,745
Denominators are 78,96,382
The GCF of 15,15,745 is 5 .
LCM of 78,96,382 is 238368.
The greatest common factor of 15/78,15/96,745/382 = [GCF of 15,15,745]/[LCM of 78,96,382]= 5/238368
Therefore, the GCF of 15/78,15/96,745/382 is 5/238368.
To find the highest common factor of 15,15,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 15 are 1, 3, 5, 15
The factors of 745 are 1, 5, 149, 745
The HCF of 15,15,745 is 5.
Lets's calculate GCF of 15,15,745
| 5 | 15, 15, 745 |
| 3, 3, 149 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 15,15,745 By Matching Biggest Common Factor Method
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 15,15,745 . The biggest common factor number is the GCF number.
So the greatest common factor 15,15,745 is 5.
Lets's calculate LCM of 78,96,382
| 2 | 78, 96, 382 |
| 3 | 39, 48, 191 |
| 13, 16, 191 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 16 x 191 = 238368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/238368
Therefore, the GCF of Fractions 15/78,15/96,745/382 is 5/238368
Least Common Multiple of 78,96,382 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 78,96,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,96,382) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(78,96,382) x common factors =2 x 6 = 12
LCM(78,96,382) = ( 78 × 96 × 382 ) / 12
LCM(78,96,382) = 2860416 / 12
LCM(78,96,382) = 238368
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FAQs on GCF of Fractions of 15/78, 15/96, 745/382
1. What is the HCF of 15,15,745?
The HCF of 15,15,745 is 5
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 15/78, 15/96, 745/382?
Answer: GCF of Numerators as per given numbers 15/78, 15/96, 745/382 is
GCF of Numerators i.e. for 15,15,745 is 5
LCM of denominators i.e. for 78,96,382 is 238368.
Thus, GCF of Fractions is 5/238368.Finally, GCF of Fractions for 15/78, 15/96, 745/382 is 5/238368.