GCF of 4252/758, 3064/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4252/758, 3064/146 i.e 4/55334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4252/758, 3064/146.
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 4252/758,3064/146?
Given fractions are 4252/758,3064/146
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 4252/758,3064/146, numerators are 4252,3064
Denominators are 758,146
The GCF of 4252,3064 is 4 .
LCM of 758,146 is 55334.
The greatest common factor of 4252/758,3064/146 = [GCF of 4252,3064]/[LCM of 758,146]= 4/55334
Therefore, the GCF of 4252/758,3064/146 is 4/55334.
To find the highest common factor of 4252,3064, we have to find the factors of both numbers and list the highest common factor.
The factors of 4252 are 1, 2, 4, 1063, 2126, 4252
The factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064
The HCF of 4252,3064 is 4.
Lets's calculate GCF of 4252,3064
| 2 | 4252, 3064 |
| 2 | 2126, 1532 |
| 1063, 766 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4252,3064 By Matching Biggest Common Factor Method
Now, list down the factors of 4252
:1,2,4,1063,2126,4252
Now, list down the factors of 3064
:1,2,4,8,383,766,1532,3064
Greatest Common Factor
We found the factors 4252,3064 . The biggest common factor number is the GCF number.
So the greatest common factor 4252,3064 is 4.
Lets's calculate LCM of 758,146
| 2 | 758, 146 |
| 379, 73 |
∴ So the LCM of the given numbers is 2 x 379 x 73 = 55334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55334
Therefore, the GCF of Fractions 4252/758,3064/146 is 4/55334
Least Common Multiple of 758,146 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 758,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,146) x common factors =2 x 1 = 2
LCM(758,146) = ( 758 × 146 ) / 2
LCM(758,146) = 110668 / 2
LCM(758,146) = 55334
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FAQs on GCF of Fractions of 4252/758, 3064/146
1. What is the HCF of 4252,3064?
The HCF of 4252,3064 is 4
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 4252/758, 3064/146?
Answer: GCF of Numerators as per given numbers 4252/758, 3064/146 is
GCF of Numerators i.e. for 4252,3064 is 4
LCM of denominators i.e. for 758,146 is 55334.
Thus, GCF of Fractions is 4/55334.Finally, GCF of Fractions for 4252/758, 3064/146 is 4/55334.