GCF of 9890/197, 5056/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9890/197, 5056/449 i.e 2/88453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9890/197, 5056/449.
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 9890/197,5056/449?
Given fractions are 9890/197,5056/449
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 9890/197,5056/449, numerators are 9890,5056
Denominators are 197,449
The GCF of 9890,5056 is 2 .
LCM of 197,449 is 88453.
The greatest common factor of 9890/197,5056/449 = [GCF of 9890,5056]/[LCM of 197,449]= 2/88453
Therefore, the GCF of 9890/197,5056/449 is 2/88453.
To find the highest common factor of 9890,5056, we have to find the factors of both numbers and list the highest common factor.
The factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
The HCF of 9890,5056 is 2.
Lets's calculate GCF of 9890,5056
| 2 | 9890, 5056 |
| 4945, 2528 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9890,5056 By Matching Biggest Common Factor Method
Now, list down the factors of 9890
:1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Greatest Common Factor
We found the factors 9890,5056 . The biggest common factor number is the GCF number.
So the greatest common factor 9890,5056 is 2.
Lets's calculate LCM of 197,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 88453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88453
Therefore, the GCF of Fractions 9890/197,5056/449 is 2/88453
Least Common Multiple of 197,449 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 197,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,449) x common factors =1 x 1 = 1
LCM(197,449) = ( 197 × 449 ) / 1
LCM(197,449) = 88453 / 1
LCM(197,449) = 88453
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FAQs on GCF of Fractions of 9890/197, 5056/449
1. What is the HCF of 9890,5056?
The HCF of 9890,5056 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 9890/197, 5056/449?
Answer: GCF of Numerators as per given numbers 9890/197, 5056/449 is
GCF of Numerators i.e. for 9890,5056 is 2
LCM of denominators i.e. for 197,449 is 88453.
Thus, GCF of Fractions is 2/88453.Finally, GCF of Fractions for 9890/197, 5056/449 is 2/88453.