GCF of 4348/122, 5105/6502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4348/122, 5105/6502 i.e 1/396622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4348/122, 5105/6502.
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 4348/122,5105/6502?
Given fractions are 4348/122,5105/6502
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 4348/122,5105/6502, numerators are 4348,5105
Denominators are 122,6502
The GCF of 4348,5105 is 1 .
LCM of 122,6502 is 396622.
The greatest common factor of 4348/122,5105/6502 = [GCF of 4348,5105]/[LCM of 122,6502]= 1/396622
Therefore, the GCF of 4348/122,5105/6502 is 1/396622.
To find the highest common factor of 4348,5105, we have to find the factors of both numbers and list the highest common factor.
The factors of 4348 are 1, 2, 4, 1087, 2174, 4348
The factors of 5105 are 1, 5, 1021, 5105
The HCF of 4348,5105 is 1.
Lets's calculate GCF of 4348,5105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4348,5105 By Matching Biggest Common Factor Method
Now, list down the factors of 4348
:1,2,4,1087,2174,4348
Now, list down the factors of 5105
:1,5,1021,5105
Greatest Common Factor
We found the factors 4348,5105 . The biggest common factor number is the GCF number.
So the greatest common factor 4348,5105 is 1.
Lets's calculate LCM of 122,6502
| 2 | 122, 6502 |
| 61, 3251 |
∴ So the LCM of the given numbers is 2 x 61 x 3251 = 396622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396622
Therefore, the GCF of Fractions 4348/122,5105/6502 is 1/396622
Least Common Multiple of 122,6502 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 122,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,6502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,6502) x common factors =2 x 1 = 2
LCM(122,6502) = ( 122 × 6502 ) / 2
LCM(122,6502) = 793244 / 2
LCM(122,6502) = 396622
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4348/122, 5105/6502
1. What is the HCF of 4348,5105?
The HCF of 4348,5105 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 4348/122, 5105/6502?
Answer: GCF of Numerators as per given numbers 4348/122, 5105/6502 is
GCF of Numerators i.e. for 4348,5105 is 1
LCM of denominators i.e. for 122,6502 is 396622.
Thus, GCF of Fractions is 1/396622.Finally, GCF of Fractions for 4348/122, 5105/6502 is 1/396622.