GCF of 4264/810, 6146/8372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4264/810, 6146/8372 i.e 2/3390660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4264/810, 6146/8372.
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 4264/810,6146/8372?
Given fractions are 4264/810,6146/8372
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 4264/810,6146/8372, numerators are 4264,6146
Denominators are 810,8372
The GCF of 4264,6146 is 2 .
LCM of 810,8372 is 3390660.
The greatest common factor of 4264/810,6146/8372 = [GCF of 4264,6146]/[LCM of 810,8372]= 2/3390660
Therefore, the GCF of 4264/810,6146/8372 is 2/3390660.
To find the highest common factor of 4264,6146, we have to find the factors of both numbers and list the highest common factor.
The factors of 4264 are 1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264
The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146
The HCF of 4264,6146 is 2.
Lets's calculate GCF of 4264,6146
| 2 | 4264, 6146 |
| 2132, 3073 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4264,6146 By Matching Biggest Common Factor Method
Now, list down the factors of 4264
:1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264
Now, list down the factors of 6146
:1,2,7,14,439,878,3073,6146
Greatest Common Factor
We found the factors 4264,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 4264,6146 is 2.
Lets's calculate LCM of 810,8372
| 2 | 810, 8372 |
| 405, 4186 |
∴ So the LCM of the given numbers is 2 x 405 x 4186 = 3390660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3390660
Therefore, the GCF of Fractions 4264/810,6146/8372 is 2/3390660
Least Common Multiple of 810,8372 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 810,8372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,8372) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,8372) x common factors =2 x 1 = 2
LCM(810,8372) = ( 810 × 8372 ) / 2
LCM(810,8372) = 6781320 / 2
LCM(810,8372) = 3390660
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FAQs on GCF of Fractions of 4264/810, 6146/8372
1. What is the HCF of 4264,6146?
The HCF of 4264,6146 is 2
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 4264/810, 6146/8372?
Answer: GCF of Numerators as per given numbers 4264/810, 6146/8372 is
GCF of Numerators i.e. for 4264,6146 is 2
LCM of denominators i.e. for 810,8372 is 3390660.
Thus, GCF of Fractions is 2/3390660.Finally, GCF of Fractions for 4264/810, 6146/8372 is 2/3390660.