GCF of 9801/129, 1586/1806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9801/129, 1586/1806 i.e 1/1806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9801/129, 1586/1806.
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 9801/129,1586/1806?
Given fractions are 9801/129,1586/1806
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 9801/129,1586/1806, numerators are 9801,1586
Denominators are 129,1806
The GCF of 9801,1586 is 1 .
LCM of 129,1806 is 1806.
The greatest common factor of 9801/129,1586/1806 = [GCF of 9801,1586]/[LCM of 129,1806]= 1/1806
Therefore, the GCF of 9801/129,1586/1806 is 1/1806.
To find the highest common factor of 9801,1586, we have to find the factors of both numbers and list the highest common factor.
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The HCF of 9801,1586 is 1.
Lets's calculate GCF of 9801,1586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9801,1586 By Matching Biggest Common Factor Method
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Greatest Common Factor
We found the factors 9801,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 9801,1586 is 1.
Lets's calculate LCM of 129,1806
| 3 | 129, 1806 |
| 43 | 43, 602 |
| 1, 14 |
∴ So the LCM of the given numbers is 3 x 43 x 1 x 14 = 1806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1806
Therefore, the GCF of Fractions 9801/129,1586/1806 is 1/1806
Least Common Multiple of 129,1806 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 129,1806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,1806) = 129
common factors(in case of two or more numbers have common factors) = 1
GCF(129,1806) x common factors =129 x 1 = 129
LCM(129,1806) = ( 129 × 1806 ) / 129
LCM(129,1806) = 232974 / 129
LCM(129,1806) = 1806
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FAQs on GCF of Fractions of 9801/129, 1586/1806
1. What is the HCF of 9801,1586?
The HCF of 9801,1586 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 9801/129, 1586/1806?
Answer: GCF of Numerators as per given numbers 9801/129, 1586/1806 is
GCF of Numerators i.e. for 9801,1586 is 1
LCM of denominators i.e. for 129,1806 is 1806.
Thus, GCF of Fractions is 1/1806.Finally, GCF of Fractions for 9801/129, 1586/1806 is 1/1806.