GCF of 7794/403, 8306/541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7794/403, 8306/541 i.e 2/218023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7794/403, 8306/541.
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 7794/403,8306/541?
Given fractions are 7794/403,8306/541
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 7794/403,8306/541, numerators are 7794,8306
Denominators are 403,541
The GCF of 7794,8306 is 2 .
LCM of 403,541 is 218023.
The greatest common factor of 7794/403,8306/541 = [GCF of 7794,8306]/[LCM of 403,541]= 2/218023
Therefore, the GCF of 7794/403,8306/541 is 2/218023.
To find the highest common factor of 7794,8306, we have to find the factors of both numbers and list the highest common factor.
The factors of 7794 are 1, 2, 3, 6, 9, 18, 433, 866, 1299, 2598, 3897, 7794
The factors of 8306 are 1, 2, 4153, 8306
The HCF of 7794,8306 is 2.
Lets's calculate GCF of 7794,8306
| 2 | 7794, 8306 |
| 3897, 4153 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7794,8306 By Matching Biggest Common Factor Method
Now, list down the factors of 7794
:1,2,3,6,9,18,433,866,1299,2598,3897,7794
Now, list down the factors of 8306
:1,2,4153,8306
Greatest Common Factor
We found the factors 7794,8306 . The biggest common factor number is the GCF number.
So the greatest common factor 7794,8306 is 2.
Lets's calculate LCM of 403,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 218023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/218023
Therefore, the GCF of Fractions 7794/403,8306/541 is 2/218023
Least Common Multiple of 403,541 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 403,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,541) x common factors =1 x 1 = 1
LCM(403,541) = ( 403 × 541 ) / 1
LCM(403,541) = 218023 / 1
LCM(403,541) = 218023
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7794/403, 8306/541
1. What is the HCF of 7794,8306?
The HCF of 7794,8306 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 7794/403, 8306/541?
Answer: GCF of Numerators as per given numbers 7794/403, 8306/541 is
GCF of Numerators i.e. for 7794,8306 is 2
LCM of denominators i.e. for 403,541 is 218023.
Thus, GCF of Fractions is 2/218023.Finally, GCF of Fractions for 7794/403, 8306/541 is 2/218023.