GCF of 4215/135, 4104/5128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4215/135, 4104/5128 i.e 3/692280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4215/135, 4104/5128.
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 4215/135,4104/5128?
Given fractions are 4215/135,4104/5128
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 4215/135,4104/5128, numerators are 4215,4104
Denominators are 135,5128
The GCF of 4215,4104 is 3 .
LCM of 135,5128 is 692280.
The greatest common factor of 4215/135,4104/5128 = [GCF of 4215,4104]/[LCM of 135,5128]= 3/692280
Therefore, the GCF of 4215/135,4104/5128 is 3/692280.
To find the highest common factor of 4215,4104, we have to find the factors of both numbers and list the highest common factor.
The factors of 4215 are 1, 3, 5, 15, 281, 843, 1405, 4215
The factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104
The HCF of 4215,4104 is 3.
Lets's calculate GCF of 4215,4104
| 3 | 4215, 4104 |
| 1405, 1368 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4215,4104 By Matching Biggest Common Factor Method
Now, list down the factors of 4215
:1,3,5,15,281,843,1405,4215
Now, list down the factors of 4104
:1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,108,114,152,171,216,228,342,456,513,684,1026,1368,2052,4104
Greatest Common Factor
We found the factors 4215,4104 . The biggest common factor number is the GCF number.
So the greatest common factor 4215,4104 is 3.
Lets's calculate LCM of 135,5128
Given numbers has no common factors except 1. So, there LCM is their product i.e 692280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/692280
Therefore, the GCF of Fractions 4215/135,4104/5128 is 3/692280
Least Common Multiple of 135,5128 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 135,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,5128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,5128) x common factors =1 x 1 = 1
LCM(135,5128) = ( 135 × 5128 ) / 1
LCM(135,5128) = 692280 / 1
LCM(135,5128) = 692280
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FAQs on GCF of Fractions of 4215/135, 4104/5128
1. What is the HCF of 4215,4104?
The HCF of 4215,4104 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 4215/135, 4104/5128?
Answer: GCF of Numerators as per given numbers 4215/135, 4104/5128 is
GCF of Numerators i.e. for 4215,4104 is 3
LCM of denominators i.e. for 135,5128 is 692280.
Thus, GCF of Fractions is 3/692280.Finally, GCF of Fractions for 4215/135, 4104/5128 is 3/692280.