GCF of 9906/358, 2275/5717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9906/358, 2275/5717 i.e 13/2046686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9906/358, 2275/5717.
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 9906/358,2275/5717?
Given fractions are 9906/358,2275/5717
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 9906/358,2275/5717, numerators are 9906,2275
Denominators are 358,5717
The GCF of 9906,2275 is 13 .
LCM of 358,5717 is 2046686.
The greatest common factor of 9906/358,2275/5717 = [GCF of 9906,2275]/[LCM of 358,5717]= 13/2046686
Therefore, the GCF of 9906/358,2275/5717 is 13/2046686.
To find the highest common factor of 9906,2275, we have to find the factors of both numbers and list the highest common factor.
The factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906
The factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
The HCF of 9906,2275 is 13.
Lets's calculate GCF of 9906,2275
| 13 | 9906, 2275 |
| 762, 175 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9906,2275 By Matching Biggest Common Factor Method
Now, list down the factors of 9906
:1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906
Now, list down the factors of 2275
:1,5,7,13,25,35,65,91,175,325,455,2275
Greatest Common Factor
We found the factors 9906,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 9906,2275 is 13.
Lets's calculate LCM of 358,5717
Given numbers has no common factors except 1. So, there LCM is their product i.e 2046686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2046686
Therefore, the GCF of Fractions 9906/358,2275/5717 is 13/2046686
Least Common Multiple of 358,5717 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 358,5717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,5717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,5717) x common factors =1 x 1 = 1
LCM(358,5717) = ( 358 × 5717 ) / 1
LCM(358,5717) = 2046686 / 1
LCM(358,5717) = 2046686
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FAQs on GCF of Fractions of 9906/358, 2275/5717
1. What is the HCF of 9906,2275?
The HCF of 9906,2275 is 13
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 9906/358, 2275/5717?
Answer: GCF of Numerators as per given numbers 9906/358, 2275/5717 is
GCF of Numerators i.e. for 9906,2275 is 13
LCM of denominators i.e. for 358,5717 is 2046686.
Thus, GCF of Fractions is 13/2046686.Finally, GCF of Fractions for 9906/358, 2275/5717 is 13/2046686.