GCF of 2966/726, 1816/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2966/726, 1816/339 i.e 2/82038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2966/726, 1816/339.
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 2966/726,1816/339?
Given fractions are 2966/726,1816/339
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 2966/726,1816/339, numerators are 2966,1816
Denominators are 726,339
The GCF of 2966,1816 is 2 .
LCM of 726,339 is 82038.
The greatest common factor of 2966/726,1816/339 = [GCF of 2966,1816]/[LCM of 726,339]= 2/82038
Therefore, the GCF of 2966/726,1816/339 is 2/82038.
To find the highest common factor of 2966,1816, we have to find the factors of both numbers and list the highest common factor.
The factors of 2966 are 1, 2, 1483, 2966
The factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816
The HCF of 2966,1816 is 2.
Lets's calculate GCF of 2966,1816
| 2 | 2966, 1816 |
| 1483, 908 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2966,1816 By Matching Biggest Common Factor Method
Now, list down the factors of 2966
:1,2,1483,2966
Now, list down the factors of 1816
:1,2,4,8,227,454,908,1816
Greatest Common Factor
We found the factors 2966,1816 . The biggest common factor number is the GCF number.
So the greatest common factor 2966,1816 is 2.
Lets's calculate LCM of 726,339
| 3 | 726, 339 |
| 242, 113 |
∴ So the LCM of the given numbers is 3 x 242 x 113 = 82038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82038
Therefore, the GCF of Fractions 2966/726,1816/339 is 2/82038
Least Common Multiple of 726,339 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 726,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,339) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(726,339) x common factors =3 x 1 = 3
LCM(726,339) = ( 726 × 339 ) / 3
LCM(726,339) = 246114 / 3
LCM(726,339) = 82038
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FAQs on GCF of Fractions of 2966/726, 1816/339
1. What is the HCF of 2966,1816?
The HCF of 2966,1816 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 2966/726, 1816/339?
Answer: GCF of Numerators as per given numbers 2966/726, 1816/339 is
GCF of Numerators i.e. for 2966,1816 is 2
LCM of denominators i.e. for 726,339 is 82038.
Thus, GCF of Fractions is 2/82038.Finally, GCF of Fractions for 2966/726, 1816/339 is 2/82038.