GCF of 4334/987, 6344/5600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4334/987, 6344/5600 i.e 2/789600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/987, 6344/5600.
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 4334/987,6344/5600?
Given fractions are 4334/987,6344/5600
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 4334/987,6344/5600, numerators are 4334,6344
Denominators are 987,5600
The GCF of 4334,6344 is 2 .
LCM of 987,5600 is 789600.
The greatest common factor of 4334/987,6344/5600 = [GCF of 4334,6344]/[LCM of 987,5600]= 2/789600
Therefore, the GCF of 4334/987,6344/5600 is 2/789600.
To find the highest common factor of 4334,6344, we have to find the factors of both numbers and list the highest common factor.
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The factors of 6344 are 1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172, 6344
The HCF of 4334,6344 is 2.
Lets's calculate GCF of 4334,6344
| 2 | 4334, 6344 |
| 2167, 3172 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4334,6344 By Matching Biggest Common Factor Method
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Now, list down the factors of 6344
:1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344
Greatest Common Factor
We found the factors 4334,6344 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,6344 is 2.
Lets's calculate LCM of 987,5600
| 7 | 987, 5600 |
| 141, 800 |
∴ So the LCM of the given numbers is 7 x 141 x 800 = 789600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/789600
Therefore, the GCF of Fractions 4334/987,6344/5600 is 2/789600
Least Common Multiple of 987,5600 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 987,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,5600) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(987,5600) x common factors =7 x 1 = 7
LCM(987,5600) = ( 987 × 5600 ) / 7
LCM(987,5600) = 5527200 / 7
LCM(987,5600) = 789600
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FAQs on GCF of Fractions of 4334/987, 6344/5600
1. What is the HCF of 4334,6344?
The HCF of 4334,6344 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 4334/987, 6344/5600?
Answer: GCF of Numerators as per given numbers 4334/987, 6344/5600 is
GCF of Numerators i.e. for 4334,6344 is 2
LCM of denominators i.e. for 987,5600 is 789600.
Thus, GCF of Fractions is 2/789600.Finally, GCF of Fractions for 4334/987, 6344/5600 is 2/789600.