GCF of 8871/516, 3828/1652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8871/516, 3828/1652 i.e 3/213108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8871/516, 3828/1652.
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 8871/516,3828/1652?
Given fractions are 8871/516,3828/1652
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 8871/516,3828/1652, numerators are 8871,3828
Denominators are 516,1652
The GCF of 8871,3828 is 3 .
LCM of 516,1652 is 213108.
The greatest common factor of 8871/516,3828/1652 = [GCF of 8871,3828]/[LCM of 516,1652]= 3/213108
Therefore, the GCF of 8871/516,3828/1652 is 3/213108.
To find the highest common factor of 8871,3828, we have to find the factors of both numbers and list the highest common factor.
The factors of 8871 are 1, 3, 2957, 8871
The factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828
The HCF of 8871,3828 is 3.
Lets's calculate GCF of 8871,3828
| 3 | 8871, 3828 |
| 2957, 1276 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8871,3828 By Matching Biggest Common Factor Method
Now, list down the factors of 8871
:1,3,2957,8871
Now, list down the factors of 3828
:1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Greatest Common Factor
We found the factors 8871,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 8871,3828 is 3.
Lets's calculate LCM of 516,1652
| 2 | 516, 1652 |
| 2 | 258, 826 |
| 129, 413 |
∴ So the LCM of the given numbers is 2 x 2 x 129 x 413 = 213108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213108
Therefore, the GCF of Fractions 8871/516,3828/1652 is 3/213108
Least Common Multiple of 516,1652 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 516,1652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,1652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(516,1652) x common factors =4 x 1 = 4
LCM(516,1652) = ( 516 × 1652 ) / 4
LCM(516,1652) = 852432 / 4
LCM(516,1652) = 213108
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FAQs on GCF of Fractions of 8871/516, 3828/1652
1. What is the HCF of 8871,3828?
The HCF of 8871,3828 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 8871/516, 3828/1652?
Answer: GCF of Numerators as per given numbers 8871/516, 3828/1652 is
GCF of Numerators i.e. for 8871,3828 is 3
LCM of denominators i.e. for 516,1652 is 213108.
Thus, GCF of Fractions is 3/213108.Finally, GCF of Fractions for 8871/516, 3828/1652 is 3/213108.