GCF of 3751/614, 3828/8894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3751/614, 3828/8894 i.e 11/2730458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3751/614, 3828/8894.
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 3751/614,3828/8894?
Given fractions are 3751/614,3828/8894
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 3751/614,3828/8894, numerators are 3751,3828
Denominators are 614,8894
The GCF of 3751,3828 is 11 .
LCM of 614,8894 is 2730458.
The greatest common factor of 3751/614,3828/8894 = [GCF of 3751,3828]/[LCM of 614,8894]= 11/2730458
Therefore, the GCF of 3751/614,3828/8894 is 11/2730458.
To find the highest common factor of 3751,3828, we have to find the factors of both numbers and list the highest common factor.
The factors of 3751 are 1, 11, 31, 121, 341, 3751
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 3751,3828 is 11.
Lets's calculate GCF of 3751,3828
| 11 | 3751, 3828 |
| 341, 348 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3751,3828 By Matching Biggest Common Factor Method
Now, list down the factors of 3751
:1,11,31,121,341,3751
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 3751,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 3751,3828 is 11.
Lets's calculate LCM of 614,8894
| 2 | 614, 8894 |
| 307, 4447 |
∴ So the LCM of the given numbers is 2 x 307 x 4447 = 2730458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2730458
Therefore, the GCF of Fractions 3751/614,3828/8894 is 11/2730458
Least Common Multiple of 614,8894 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 614,8894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,8894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,8894) x common factors =2 x 1 = 2
LCM(614,8894) = ( 614 × 8894 ) / 2
LCM(614,8894) = 5460916 / 2
LCM(614,8894) = 2730458
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FAQs on GCF of Fractions of 3751/614, 3828/8894
1. What is the HCF of 3751,3828?
The HCF of 3751,3828 is 11
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 3751/614, 3828/8894?
Answer: GCF of Numerators as per given numbers 3751/614, 3828/8894 is
GCF of Numerators i.e. for 3751,3828 is 11
LCM of denominators i.e. for 614,8894 is 2730458.
Thus, GCF of Fractions is 11/2730458.Finally, GCF of Fractions for 3751/614, 3828/8894 is 11/2730458.