GCF of 8443/505, 6401/8655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8443/505, 6401/8655 i.e 1/874155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8443/505, 6401/8655.
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 8443/505,6401/8655?
Given fractions are 8443/505,6401/8655
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 8443/505,6401/8655, numerators are 8443,6401
Denominators are 505,8655
The GCF of 8443,6401 is 1 .
LCM of 505,8655 is 874155.
The greatest common factor of 8443/505,6401/8655 = [GCF of 8443,6401]/[LCM of 505,8655]= 1/874155
Therefore, the GCF of 8443/505,6401/8655 is 1/874155.
To find the highest common factor of 8443,6401, we have to find the factors of both numbers and list the highest common factor.
The factors of 8443 are 1, 8443
The factors of 6401 are 1, 37, 173, 6401
The HCF of 8443,6401 is 1.
Lets's calculate GCF of 8443,6401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8443,6401 By Matching Biggest Common Factor Method
Now, list down the factors of 8443
:1,8443
Now, list down the factors of 6401
:1,37,173,6401
Greatest Common Factor
We found the factors 8443,6401 . The biggest common factor number is the GCF number.
So the greatest common factor 8443,6401 is 1.
Lets's calculate LCM of 505,8655
| 5 | 505, 8655 |
| 101, 1731 |
∴ So the LCM of the given numbers is 5 x 101 x 1731 = 874155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874155
Therefore, the GCF of Fractions 8443/505,6401/8655 is 1/874155
Least Common Multiple of 505,8655 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 505,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,8655) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(505,8655) x common factors =5 x 1 = 5
LCM(505,8655) = ( 505 × 8655 ) / 5
LCM(505,8655) = 4370775 / 5
LCM(505,8655) = 874155
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FAQs on GCF of Fractions of 8443/505, 6401/8655
1. What is the HCF of 8443,6401?
The HCF of 8443,6401 is 1
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 8443/505, 6401/8655?
Answer: GCF of Numerators as per given numbers 8443/505, 6401/8655 is
GCF of Numerators i.e. for 8443,6401 is 1
LCM of denominators i.e. for 505,8655 is 874155.
Thus, GCF of Fractions is 1/874155.Finally, GCF of Fractions for 8443/505, 6401/8655 is 1/874155.