GCF of 7401/403, 8743/5363
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7401/403, 8743/5363 i.e 1/69719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7401/403, 8743/5363.
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 7401/403,8743/5363?
Given fractions are 7401/403,8743/5363
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 7401/403,8743/5363, numerators are 7401,8743
Denominators are 403,5363
The GCF of 7401,8743 is 1 .
LCM of 403,5363 is 69719.
The greatest common factor of 7401/403,8743/5363 = [GCF of 7401,8743]/[LCM of 403,5363]= 1/69719
Therefore, the GCF of 7401/403,8743/5363 is 1/69719.
To find the highest common factor of 7401,8743, we have to find the factors of both numbers and list the highest common factor.
The factors of 7401 are 1, 3, 2467, 7401
The factors of 8743 are 1, 7, 1249, 8743
The HCF of 7401,8743 is 1.
Lets's calculate GCF of 7401,8743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7401,8743 By Matching Biggest Common Factor Method
Now, list down the factors of 7401
:1,3,2467,7401
Now, list down the factors of 8743
:1,7,1249,8743
Greatest Common Factor
We found the factors 7401,8743 . The biggest common factor number is the GCF number.
So the greatest common factor 7401,8743 is 1.
Lets's calculate LCM of 403,5363
| 31 | 403, 5363 |
| 13, 173 |
∴ So the LCM of the given numbers is 31 x 13 x 173 = 69719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69719
Therefore, the GCF of Fractions 7401/403,8743/5363 is 1/69719
Least Common Multiple of 403,5363 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 403,5363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,5363) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(403,5363) x common factors =31 x 1 = 31
LCM(403,5363) = ( 403 × 5363 ) / 31
LCM(403,5363) = 2161289 / 31
LCM(403,5363) = 69719
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7401/403, 8743/5363
1. What is the HCF of 7401,8743?
The HCF of 7401,8743 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 7401/403, 8743/5363?
Answer: GCF of Numerators as per given numbers 7401/403, 8743/5363 is
GCF of Numerators i.e. for 7401,8743 is 1
LCM of denominators i.e. for 403,5363 is 69719.
Thus, GCF of Fractions is 1/69719.Finally, GCF of Fractions for 7401/403, 8743/5363 is 1/69719.