GCF of 4469/987, 2132/8745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4469/987, 2132/8745 i.e 41/2877105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4469/987, 2132/8745.
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 4469/987,2132/8745?
Given fractions are 4469/987,2132/8745
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 4469/987,2132/8745, numerators are 4469,2132
Denominators are 987,8745
The GCF of 4469,2132 is 41 .
LCM of 987,8745 is 2877105.
The greatest common factor of 4469/987,2132/8745 = [GCF of 4469,2132]/[LCM of 987,8745]= 41/2877105
Therefore, the GCF of 4469/987,2132/8745 is 41/2877105.
To find the highest common factor of 4469,2132, we have to find the factors of both numbers and list the highest common factor.
The factors of 4469 are 1, 41, 109, 4469
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The HCF of 4469,2132 is 41.
Lets's calculate GCF of 4469,2132
| 41 | 4469, 2132 |
| 109, 52 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 4469,2132 By Matching Biggest Common Factor Method
Now, list down the factors of 4469
:1,41,109,4469
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Greatest Common Factor
We found the factors 4469,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,2132 is 41.
Lets's calculate LCM of 987,8745
| 3 | 987, 8745 |
| 329, 2915 |
∴ So the LCM of the given numbers is 3 x 329 x 2915 = 2877105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2877105
Therefore, the GCF of Fractions 4469/987,2132/8745 is 41/2877105
Least Common Multiple of 987,8745 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 987,8745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,8745) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,8745) x common factors =3 x 1 = 3
LCM(987,8745) = ( 987 × 8745 ) / 3
LCM(987,8745) = 8631315 / 3
LCM(987,8745) = 2877105
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FAQs on GCF of Fractions of 4469/987, 2132/8745
1. What is the HCF of 4469,2132?
The HCF of 4469,2132 is 41
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 4469/987, 2132/8745?
Answer: GCF of Numerators as per given numbers 4469/987, 2132/8745 is
GCF of Numerators i.e. for 4469,2132 is 41
LCM of denominators i.e. for 987,8745 is 2877105.
Thus, GCF of Fractions is 41/2877105.Finally, GCF of Fractions for 4469/987, 2132/8745 is 41/2877105.