GCF of 4114/538, 8884/1644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4114/538, 8884/1644 i.e 2/442236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4114/538, 8884/1644.
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 4114/538,8884/1644?
Given fractions are 4114/538,8884/1644
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 4114/538,8884/1644, numerators are 4114,8884
Denominators are 538,1644
The GCF of 4114,8884 is 2 .
LCM of 538,1644 is 442236.
The greatest common factor of 4114/538,8884/1644 = [GCF of 4114,8884]/[LCM of 538,1644]= 2/442236
Therefore, the GCF of 4114/538,8884/1644 is 2/442236.
To find the highest common factor of 4114,8884, we have to find the factors of both numbers and list the highest common factor.
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The factors of 8884 are 1, 2, 4, 2221, 4442, 8884
The HCF of 4114,8884 is 2.
Lets's calculate GCF of 4114,8884
| 2 | 4114, 8884 |
| 2057, 4442 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4114,8884 By Matching Biggest Common Factor Method
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Now, list down the factors of 8884
:1,2,4,2221,4442,8884
Greatest Common Factor
We found the factors 4114,8884 . The biggest common factor number is the GCF number.
So the greatest common factor 4114,8884 is 2.
Lets's calculate LCM of 538,1644
| 2 | 538, 1644 |
| 269, 822 |
∴ So the LCM of the given numbers is 2 x 269 x 822 = 442236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/442236
Therefore, the GCF of Fractions 4114/538,8884/1644 is 2/442236
Least Common Multiple of 538,1644 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 538,1644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,1644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,1644) x common factors =2 x 1 = 2
LCM(538,1644) = ( 538 × 1644 ) / 2
LCM(538,1644) = 884472 / 2
LCM(538,1644) = 442236
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FAQs on GCF of Fractions of 4114/538, 8884/1644
1. What is the HCF of 4114,8884?
The HCF of 4114,8884 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 4114/538, 8884/1644?
Answer: GCF of Numerators as per given numbers 4114/538, 8884/1644 is
GCF of Numerators i.e. for 4114,8884 is 2
LCM of denominators i.e. for 538,1644 is 442236.
Thus, GCF of Fractions is 2/442236.Finally, GCF of Fractions for 4114/538, 8884/1644 is 2/442236.