GCF of 3241/982, 7266/7405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3241/982, 7266/7405 i.e 7/7271710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3241/982, 7266/7405.
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 3241/982,7266/7405?
Given fractions are 3241/982,7266/7405
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 3241/982,7266/7405, numerators are 3241,7266
Denominators are 982,7405
The GCF of 3241,7266 is 7 .
LCM of 982,7405 is 7271710.
The greatest common factor of 3241/982,7266/7405 = [GCF of 3241,7266]/[LCM of 982,7405]= 7/7271710
Therefore, the GCF of 3241/982,7266/7405 is 7/7271710.
To find the highest common factor of 3241,7266, we have to find the factors of both numbers and list the highest common factor.
The factors of 3241 are 1, 7, 463, 3241
The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
The HCF of 3241,7266 is 7.
Lets's calculate GCF of 3241,7266
| 7 | 3241, 7266 |
| 463, 1038 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3241,7266 By Matching Biggest Common Factor Method
Now, list down the factors of 3241
:1,7,463,3241
Now, list down the factors of 7266
:1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Greatest Common Factor
We found the factors 3241,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 3241,7266 is 7.
Lets's calculate LCM of 982,7405
Given numbers has no common factors except 1. So, there LCM is their product i.e 7271710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7271710
Therefore, the GCF of Fractions 3241/982,7266/7405 is 7/7271710
Least Common Multiple of 982,7405 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 982,7405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,7405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,7405) x common factors =1 x 1 = 1
LCM(982,7405) = ( 982 × 7405 ) / 1
LCM(982,7405) = 7271710 / 1
LCM(982,7405) = 7271710
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3241/982, 7266/7405
1. What is the HCF of 3241,7266?
The HCF of 3241,7266 is 7
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 3241/982, 7266/7405?
Answer: GCF of Numerators as per given numbers 3241/982, 7266/7405 is
GCF of Numerators i.e. for 3241,7266 is 7
LCM of denominators i.e. for 982,7405 is 7271710.
Thus, GCF of Fractions is 7/7271710.Finally, GCF of Fractions for 3241/982, 7266/7405 is 7/7271710.