GCF of 4268/576, 2828/8766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4268/576, 2828/8766 i.e 4/280512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4268/576, 2828/8766.
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 4268/576,2828/8766?
Given fractions are 4268/576,2828/8766
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 4268/576,2828/8766, numerators are 4268,2828
Denominators are 576,8766
The GCF of 4268,2828 is 4 .
LCM of 576,8766 is 280512.
The greatest common factor of 4268/576,2828/8766 = [GCF of 4268,2828]/[LCM of 576,8766]= 4/280512
Therefore, the GCF of 4268/576,2828/8766 is 4/280512.
To find the highest common factor of 4268,2828, we have to find the factors of both numbers and list the highest common factor.
The factors of 4268 are 1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134, 4268
The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828
The HCF of 4268,2828 is 4.
Lets's calculate GCF of 4268,2828
| 2 | 4268, 2828 |
| 2 | 2134, 1414 |
| 1067, 707 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4268,2828 By Matching Biggest Common Factor Method
Now, list down the factors of 4268
:1,2,4,11,22,44,97,194,388,1067,2134,4268
Now, list down the factors of 2828
:1,2,4,7,14,28,101,202,404,707,1414,2828
Greatest Common Factor
We found the factors 4268,2828 . The biggest common factor number is the GCF number.
So the greatest common factor 4268,2828 is 4.
Lets's calculate LCM of 576,8766
| 2 | 576, 8766 |
| 3 | 288, 4383 |
| 3 | 96, 1461 |
| 32, 487 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 32 x 487 = 280512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/280512
Therefore, the GCF of Fractions 4268/576,2828/8766 is 4/280512
Least Common Multiple of 576,8766 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 576,8766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,8766) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(576,8766) x common factors =18 x 1 = 18
LCM(576,8766) = ( 576 × 8766 ) / 18
LCM(576,8766) = 5049216 / 18
LCM(576,8766) = 280512
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FAQs on GCF of Fractions of 4268/576, 2828/8766
1. What is the HCF of 4268,2828?
The HCF of 4268,2828 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 4268/576, 2828/8766?
Answer: GCF of Numerators as per given numbers 4268/576, 2828/8766 is
GCF of Numerators i.e. for 4268,2828 is 4
LCM of denominators i.e. for 576,8766 is 280512.
Thus, GCF of Fractions is 4/280512.Finally, GCF of Fractions for 4268/576, 2828/8766 is 4/280512.