GCF of 4498/987, 3958/8225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4498/987, 3958/8225 i.e 2/24675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4498/987, 3958/8225.
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 4498/987,3958/8225?
Given fractions are 4498/987,3958/8225
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 4498/987,3958/8225, numerators are 4498,3958
Denominators are 987,8225
The GCF of 4498,3958 is 2 .
LCM of 987,8225 is 24675.
The greatest common factor of 4498/987,3958/8225 = [GCF of 4498,3958]/[LCM of 987,8225]= 2/24675
Therefore, the GCF of 4498/987,3958/8225 is 2/24675.
To find the highest common factor of 4498,3958, we have to find the factors of both numbers and list the highest common factor.
The factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498
The factors of 3958 are 1, 2, 1979, 3958
The HCF of 4498,3958 is 2.
Lets's calculate GCF of 4498,3958
| 2 | 4498, 3958 |
| 2249, 1979 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4498,3958 By Matching Biggest Common Factor Method
Now, list down the factors of 4498
:1,2,13,26,173,346,2249,4498
Now, list down the factors of 3958
:1,2,1979,3958
Greatest Common Factor
We found the factors 4498,3958 . The biggest common factor number is the GCF number.
So the greatest common factor 4498,3958 is 2.
Lets's calculate LCM of 987,8225
| 7 | 987, 8225 |
| 47 | 141, 1175 |
| 3, 25 |
∴ So the LCM of the given numbers is 7 x 47 x 3 x 25 = 24675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24675
Therefore, the GCF of Fractions 4498/987,3958/8225 is 2/24675
Least Common Multiple of 987,8225 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 987,8225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,8225) = 329
common factors(in case of two or more numbers have common factors) = 1
GCF(987,8225) x common factors =329 x 1 = 329
LCM(987,8225) = ( 987 × 8225 ) / 329
LCM(987,8225) = 8118075 / 329
LCM(987,8225) = 24675
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FAQs on GCF of Fractions of 4498/987, 3958/8225
1. What is the HCF of 4498,3958?
The HCF of 4498,3958 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 4498/987, 3958/8225?
Answer: GCF of Numerators as per given numbers 4498/987, 3958/8225 is
GCF of Numerators i.e. for 4498,3958 is 2
LCM of denominators i.e. for 987,8225 is 24675.
Thus, GCF of Fractions is 2/24675.Finally, GCF of Fractions for 4498/987, 3958/8225 is 2/24675.