GCF of 9876/260, 2422/3903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9876/260, 2422/3903 i.e 2/1014780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9876/260, 2422/3903.
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 9876/260,2422/3903?
Given fractions are 9876/260,2422/3903
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 9876/260,2422/3903, numerators are 9876,2422
Denominators are 260,3903
The GCF of 9876,2422 is 2 .
LCM of 260,3903 is 1014780.
The greatest common factor of 9876/260,2422/3903 = [GCF of 9876,2422]/[LCM of 260,3903]= 2/1014780
Therefore, the GCF of 9876/260,2422/3903 is 2/1014780.
To find the highest common factor of 9876,2422, we have to find the factors of both numbers and list the highest common factor.
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422
The HCF of 9876,2422 is 2.
Lets's calculate GCF of 9876,2422
| 2 | 9876, 2422 |
| 4938, 1211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9876,2422 By Matching Biggest Common Factor Method
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Now, list down the factors of 2422
:1,2,7,14,173,346,1211,2422
Greatest Common Factor
We found the factors 9876,2422 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,2422 is 2.
Lets's calculate LCM of 260,3903
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1014780
Therefore, the GCF of Fractions 9876/260,2422/3903 is 2/1014780
Least Common Multiple of 260,3903 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 260,3903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,3903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,3903) x common factors =1 x 1 = 1
LCM(260,3903) = ( 260 × 3903 ) / 1
LCM(260,3903) = 1014780 / 1
LCM(260,3903) = 1014780
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FAQs on GCF of Fractions of 9876/260, 2422/3903
1. What is the HCF of 9876,2422?
The HCF of 9876,2422 is 2
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 9876/260, 2422/3903?
Answer: GCF of Numerators as per given numbers 9876/260, 2422/3903 is
GCF of Numerators i.e. for 9876,2422 is 2
LCM of denominators i.e. for 260,3903 is 1014780.
Thus, GCF of Fractions is 2/1014780.Finally, GCF of Fractions for 9876/260, 2422/3903 is 2/1014780.