GCF of 9925/582, 3816/5052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9925/582, 3816/5052 i.e 1/490044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9925/582, 3816/5052.
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 9925/582,3816/5052?
Given fractions are 9925/582,3816/5052
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 9925/582,3816/5052, numerators are 9925,3816
Denominators are 582,5052
The GCF of 9925,3816 is 1 .
LCM of 582,5052 is 490044.
The greatest common factor of 9925/582,3816/5052 = [GCF of 9925,3816]/[LCM of 582,5052]= 1/490044
Therefore, the GCF of 9925/582,3816/5052 is 1/490044.
To find the highest common factor of 9925,3816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9925 are 1, 5, 25, 397, 1985, 9925
The factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816
The HCF of 9925,3816 is 1.
Lets's calculate GCF of 9925,3816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9925,3816 By Matching Biggest Common Factor Method
Now, list down the factors of 9925
:1,5,25,397,1985,9925
Now, list down the factors of 3816
:1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816
Greatest Common Factor
We found the factors 9925,3816 . The biggest common factor number is the GCF number.
So the greatest common factor 9925,3816 is 1.
Lets's calculate LCM of 582,5052
| 2 | 582, 5052 |
| 3 | 291, 2526 |
| 97, 842 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 842 = 490044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/490044
Therefore, the GCF of Fractions 9925/582,3816/5052 is 1/490044
Least Common Multiple of 582,5052 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 582,5052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,5052) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,5052) x common factors =6 x 1 = 6
LCM(582,5052) = ( 582 × 5052 ) / 6
LCM(582,5052) = 2940264 / 6
LCM(582,5052) = 490044
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FAQs on GCF of Fractions of 9925/582, 3816/5052
1. What is the HCF of 9925,3816?
The HCF of 9925,3816 is 1
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 9925/582, 3816/5052?
Answer: GCF of Numerators as per given numbers 9925/582, 3816/5052 is
GCF of Numerators i.e. for 9925,3816 is 1
LCM of denominators i.e. for 582,5052 is 490044.
Thus, GCF of Fractions is 1/490044.Finally, GCF of Fractions for 9925/582, 3816/5052 is 1/490044.