GCF of 8446/937, 1353/2489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8446/937, 1353/2489 i.e 41/2332193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8446/937, 1353/2489.
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 8446/937,1353/2489?
Given fractions are 8446/937,1353/2489
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 8446/937,1353/2489, numerators are 8446,1353
Denominators are 937,2489
The GCF of 8446,1353 is 41 .
LCM of 937,2489 is 2332193.
The greatest common factor of 8446/937,1353/2489 = [GCF of 8446,1353]/[LCM of 937,2489]= 41/2332193
Therefore, the GCF of 8446/937,1353/2489 is 41/2332193.
To find the highest common factor of 8446,1353, we have to find the factors of both numbers and list the highest common factor.
The factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446
The factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353
The HCF of 8446,1353 is 41.
Lets's calculate GCF of 8446,1353
| 41 | 8446, 1353 |
| 206, 33 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 8446,1353 By Matching Biggest Common Factor Method
Now, list down the factors of 8446
:1,2,41,82,103,206,4223,8446
Now, list down the factors of 1353
:1,3,11,33,41,123,451,1353
Greatest Common Factor
We found the factors 8446,1353 . The biggest common factor number is the GCF number.
So the greatest common factor 8446,1353 is 41.
Lets's calculate LCM of 937,2489
Given numbers has no common factors except 1. So, there LCM is their product i.e 2332193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2332193
Therefore, the GCF of Fractions 8446/937,1353/2489 is 41/2332193
Least Common Multiple of 937,2489 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 937,2489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,2489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,2489) x common factors =1 x 1 = 1
LCM(937,2489) = ( 937 × 2489 ) / 1
LCM(937,2489) = 2332193 / 1
LCM(937,2489) = 2332193
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8446/937, 1353/2489
1. What is the HCF of 8446,1353?
The HCF of 8446,1353 is 41
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 8446/937, 1353/2489?
Answer: GCF of Numerators as per given numbers 8446/937, 1353/2489 is
GCF of Numerators i.e. for 8446,1353 is 41
LCM of denominators i.e. for 937,2489 is 2332193.
Thus, GCF of Fractions is 41/2332193.Finally, GCF of Fractions for 8446/937, 1353/2489 is 41/2332193.