GCF of 9409/272, 4221/838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9409/272, 4221/838 i.e 1/113968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9409/272, 4221/838.
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 9409/272,4221/838?
Given fractions are 9409/272,4221/838
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 9409/272,4221/838, numerators are 9409,4221
Denominators are 272,838
The GCF of 9409,4221 is 1 .
LCM of 272,838 is 113968.
The greatest common factor of 9409/272,4221/838 = [GCF of 9409,4221]/[LCM of 272,838]= 1/113968
Therefore, the GCF of 9409/272,4221/838 is 1/113968.
To find the highest common factor of 9409,4221, we have to find the factors of both numbers and list the highest common factor.
The factors of 9409 are 1, 97, 9409
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The HCF of 9409,4221 is 1.
Lets's calculate GCF of 9409,4221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9409,4221 By Matching Biggest Common Factor Method
Now, list down the factors of 9409
:1,97,9409
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 9409,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 9409,4221 is 1.
Lets's calculate LCM of 272,838
| 2 | 272, 838 |
| 136, 419 |
∴ So the LCM of the given numbers is 2 x 136 x 419 = 113968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113968
Therefore, the GCF of Fractions 9409/272,4221/838 is 1/113968
Least Common Multiple of 272,838 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 272,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,838) x common factors =2 x 1 = 2
LCM(272,838) = ( 272 × 838 ) / 2
LCM(272,838) = 227936 / 2
LCM(272,838) = 113968
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FAQs on GCF of Fractions of 9409/272, 4221/838
1. What is the HCF of 9409,4221?
The HCF of 9409,4221 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 9409/272, 4221/838?
Answer: GCF of Numerators as per given numbers 9409/272, 4221/838 is
GCF of Numerators i.e. for 9409,4221 is 1
LCM of denominators i.e. for 272,838 is 113968.
Thus, GCF of Fractions is 1/113968.Finally, GCF of Fractions for 9409/272, 4221/838 is 1/113968.