GCF of 8394/807, 9308/5372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8394/807, 9308/5372 i.e 2/4335204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8394/807, 9308/5372.
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 8394/807,9308/5372?
Given fractions are 8394/807,9308/5372
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 8394/807,9308/5372, numerators are 8394,9308
Denominators are 807,5372
The GCF of 8394,9308 is 2 .
LCM of 807,5372 is 4335204.
The greatest common factor of 8394/807,9308/5372 = [GCF of 8394,9308]/[LCM of 807,5372]= 2/4335204
Therefore, the GCF of 8394/807,9308/5372 is 2/4335204.
To find the highest common factor of 8394,9308, we have to find the factors of both numbers and list the highest common factor.
The factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394
The factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308
The HCF of 8394,9308 is 2.
Lets's calculate GCF of 8394,9308
| 2 | 8394, 9308 |
| 4197, 4654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8394,9308 By Matching Biggest Common Factor Method
Now, list down the factors of 8394
:1,2,3,6,1399,2798,4197,8394
Now, list down the factors of 9308
:1,2,4,13,26,52,179,358,716,2327,4654,9308
Greatest Common Factor
We found the factors 8394,9308 . The biggest common factor number is the GCF number.
So the greatest common factor 8394,9308 is 2.
Lets's calculate LCM of 807,5372
Given numbers has no common factors except 1. So, there LCM is their product i.e 4335204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4335204
Therefore, the GCF of Fractions 8394/807,9308/5372 is 2/4335204
Least Common Multiple of 807,5372 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 807,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,5372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,5372) x common factors =1 x 1 = 1
LCM(807,5372) = ( 807 × 5372 ) / 1
LCM(807,5372) = 4335204 / 1
LCM(807,5372) = 4335204
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8394/807, 9308/5372
1. What is the HCF of 8394,9308?
The HCF of 8394,9308 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 8394/807, 9308/5372?
Answer: GCF of Numerators as per given numbers 8394/807, 9308/5372 is
GCF of Numerators i.e. for 8394,9308 is 2
LCM of denominators i.e. for 807,5372 is 4335204.
Thus, GCF of Fractions is 2/4335204.Finally, GCF of Fractions for 8394/807, 9308/5372 is 2/4335204.