GCF of 444/198, 8727/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 444/198, 8727/268 i.e 3/26532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/198, 8727/268.
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 444/198,8727/268?
Given fractions are 444/198,8727/268
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 444/198,8727/268, numerators are 444,8727
Denominators are 198,268
The GCF of 444,8727 is 3 .
LCM of 198,268 is 26532.
The greatest common factor of 444/198,8727/268 = [GCF of 444,8727]/[LCM of 198,268]= 3/26532
Therefore, the GCF of 444/198,8727/268 is 3/26532.
To find the highest common factor of 444,8727, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 8727 are 1, 3, 2909, 8727
The HCF of 444,8727 is 3.
Lets's calculate GCF of 444,8727
| 3 | 444, 8727 |
| 148, 2909 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 444,8727 By Matching Biggest Common Factor Method
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 8727
:1,3,2909,8727
Greatest Common Factor
We found the factors 444,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 444,8727 is 3.
Lets's calculate LCM of 198,268
| 2 | 198, 268 |
| 99, 134 |
∴ So the LCM of the given numbers is 2 x 99 x 134 = 26532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26532
Therefore, the GCF of Fractions 444/198,8727/268 is 3/26532
Least Common Multiple of 198,268 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 198,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,268) x common factors =2 x 1 = 2
LCM(198,268) = ( 198 × 268 ) / 2
LCM(198,268) = 53064 / 2
LCM(198,268) = 26532
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FAQs on GCF of Fractions of 444/198, 8727/268
1. What is the HCF of 444,8727?
The HCF of 444,8727 is 3
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 444/198, 8727/268?
Answer: GCF of Numerators as per given numbers 444/198, 8727/268 is
GCF of Numerators i.e. for 444,8727 is 3
LCM of denominators i.e. for 198,268 is 26532.
Thus, GCF of Fractions is 3/26532.Finally, GCF of Fractions for 444/198, 8727/268 is 3/26532.