GCF of 9339/261, 5136/4211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9339/261, 5136/4211 i.e 3/1099071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9339/261, 5136/4211.
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 9339/261,5136/4211?
Given fractions are 9339/261,5136/4211
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 9339/261,5136/4211, numerators are 9339,5136
Denominators are 261,4211
The GCF of 9339,5136 is 3 .
LCM of 261,4211 is 1099071.
The greatest common factor of 9339/261,5136/4211 = [GCF of 9339,5136]/[LCM of 261,4211]= 3/1099071
Therefore, the GCF of 9339/261,5136/4211 is 3/1099071.
To find the highest common factor of 9339,5136, we have to find the factors of both numbers and list the highest common factor.
The factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339
The factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
The HCF of 9339,5136 is 3.
Lets's calculate GCF of 9339,5136
| 3 | 9339, 5136 |
| 3113, 1712 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9339,5136 By Matching Biggest Common Factor Method
Now, list down the factors of 9339
:1,3,11,33,283,849,3113,9339
Now, list down the factors of 5136
:1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136
Greatest Common Factor
We found the factors 9339,5136 . The biggest common factor number is the GCF number.
So the greatest common factor 9339,5136 is 3.
Lets's calculate LCM of 261,4211
Given numbers has no common factors except 1. So, there LCM is their product i.e 1099071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1099071
Therefore, the GCF of Fractions 9339/261,5136/4211 is 3/1099071
Least Common Multiple of 261,4211 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 261,4211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,4211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,4211) x common factors =1 x 1 = 1
LCM(261,4211) = ( 261 × 4211 ) / 1
LCM(261,4211) = 1099071 / 1
LCM(261,4211) = 1099071
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FAQs on GCF of Fractions of 9339/261, 5136/4211
1. What is the HCF of 9339,5136?
The HCF of 9339,5136 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 9339/261, 5136/4211?
Answer: GCF of Numerators as per given numbers 9339/261, 5136/4211 is
GCF of Numerators i.e. for 9339,5136 is 3
LCM of denominators i.e. for 261,4211 is 1099071.
Thus, GCF of Fractions is 3/1099071.Finally, GCF of Fractions for 9339/261, 5136/4211 is 3/1099071.