GCF of 9861/261, 2205/6837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9861/261, 2205/6837 i.e 3/594819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9861/261, 2205/6837.
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 9861/261,2205/6837?
Given fractions are 9861/261,2205/6837
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 9861/261,2205/6837, numerators are 9861,2205
Denominators are 261,6837
The GCF of 9861,2205 is 3 .
LCM of 261,6837 is 594819.
The greatest common factor of 9861/261,2205/6837 = [GCF of 9861,2205]/[LCM of 261,6837]= 3/594819
Therefore, the GCF of 9861/261,2205/6837 is 3/594819.
To find the highest common factor of 9861,2205, we have to find the factors of both numbers and list the highest common factor.
The factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861
The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
The HCF of 9861,2205 is 3.
Lets's calculate GCF of 9861,2205
| 3 | 9861, 2205 |
| 3287, 735 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9861,2205 By Matching Biggest Common Factor Method
Now, list down the factors of 9861
:1,3,19,57,173,519,3287,9861
Now, list down the factors of 2205
:1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Greatest Common Factor
We found the factors 9861,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 9861,2205 is 3.
Lets's calculate LCM of 261,6837
| 3 | 261, 6837 |
| 87, 2279 |
∴ So the LCM of the given numbers is 3 x 87 x 2279 = 594819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/594819
Therefore, the GCF of Fractions 9861/261,2205/6837 is 3/594819
Least Common Multiple of 261,6837 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 261,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,6837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,6837) x common factors =3 x 1 = 3
LCM(261,6837) = ( 261 × 6837 ) / 3
LCM(261,6837) = 1784457 / 3
LCM(261,6837) = 594819
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FAQs on GCF of Fractions of 9861/261, 2205/6837
1. What is the HCF of 9861,2205?
The HCF of 9861,2205 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 9861/261, 2205/6837?
Answer: GCF of Numerators as per given numbers 9861/261, 2205/6837 is
GCF of Numerators i.e. for 9861,2205 is 3
LCM of denominators i.e. for 261,6837 is 594819.
Thus, GCF of Fractions is 3/594819.Finally, GCF of Fractions for 9861/261, 2205/6837 is 3/594819.