GCF of 9890/116, 9108/6230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9890/116, 9108/6230 i.e 46/361340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9890/116, 9108/6230.
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 9890/116,9108/6230?
Given fractions are 9890/116,9108/6230
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 9890/116,9108/6230, numerators are 9890,9108
Denominators are 116,6230
The GCF of 9890,9108 is 46 .
LCM of 116,6230 is 361340.
The greatest common factor of 9890/116,9108/6230 = [GCF of 9890,9108]/[LCM of 116,6230]= 46/361340
Therefore, the GCF of 9890/116,9108/6230 is 46/361340.
To find the highest common factor of 9890,9108, 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 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The HCF of 9890,9108 is 46.
Lets's calculate GCF of 9890,9108
| 2 | 9890, 9108 |
| 23 | 4945, 4554 |
| 215, 198 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 9890,9108 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 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Greatest Common Factor
We found the factors 9890,9108 . The biggest common factor number is the GCF number.
So the greatest common factor 9890,9108 is 46.
Lets's calculate LCM of 116,6230
| 2 | 116, 6230 |
| 58, 3115 |
∴ So the LCM of the given numbers is 2 x 58 x 3115 = 361340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/361340
Therefore, the GCF of Fractions 9890/116,9108/6230 is 46/361340
Least Common Multiple of 116,6230 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 116,6230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,6230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,6230) x common factors =2 x 1 = 2
LCM(116,6230) = ( 116 × 6230 ) / 2
LCM(116,6230) = 722680 / 2
LCM(116,6230) = 361340
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FAQs on GCF of Fractions of 9890/116, 9108/6230
1. What is the HCF of 9890,9108?
The HCF of 9890,9108 is 46
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 9890/116, 9108/6230?
Answer: GCF of Numerators as per given numbers 9890/116, 9108/6230 is
GCF of Numerators i.e. for 9890,9108 is 46
LCM of denominators i.e. for 116,6230 is 361340.
Thus, GCF of Fractions is 46/361340.Finally, GCF of Fractions for 9890/116, 9108/6230 is 46/361340.