GCF of 1615/111, 5712/4359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1615/111, 5712/4359 i.e 17/161283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1615/111, 5712/4359.
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 1615/111,5712/4359?
Given fractions are 1615/111,5712/4359
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 1615/111,5712/4359, numerators are 1615,5712
Denominators are 111,4359
The GCF of 1615,5712 is 17 .
LCM of 111,4359 is 161283.
The greatest common factor of 1615/111,5712/4359 = [GCF of 1615,5712]/[LCM of 111,4359]= 17/161283
Therefore, the GCF of 1615/111,5712/4359 is 17/161283.
To find the highest common factor of 1615,5712, we have to find the factors of both numbers and list the highest common factor.
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The HCF of 1615,5712 is 17.
Lets's calculate GCF of 1615,5712
| 17 | 1615, 5712 |
| 95, 336 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1615,5712 By Matching Biggest Common Factor Method
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Greatest Common Factor
We found the factors 1615,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 1615,5712 is 17.
Lets's calculate LCM of 111,4359
| 3 | 111, 4359 |
| 37, 1453 |
∴ So the LCM of the given numbers is 3 x 37 x 1453 = 161283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/161283
Therefore, the GCF of Fractions 1615/111,5712/4359 is 17/161283
Least Common Multiple of 111,4359 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 111,4359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,4359) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(111,4359) x common factors =3 x 1 = 3
LCM(111,4359) = ( 111 × 4359 ) / 3
LCM(111,4359) = 483849 / 3
LCM(111,4359) = 161283
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1615/111, 5712/4359
1. What is the HCF of 1615,5712?
The HCF of 1615,5712 is 17
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 1615/111, 5712/4359?
Answer: GCF of Numerators as per given numbers 1615/111, 5712/4359 is
GCF of Numerators i.e. for 1615,5712 is 17
LCM of denominators i.e. for 111,4359 is 161283.
Thus, GCF of Fractions is 17/161283.Finally, GCF of Fractions for 1615/111, 5712/4359 is 17/161283.