GCF of 9417/284, 7406/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9417/284, 7406/943 i.e 1/267812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9417/284, 7406/943.
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 9417/284,7406/943?
Given fractions are 9417/284,7406/943
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 9417/284,7406/943, numerators are 9417,7406
Denominators are 284,943
The GCF of 9417,7406 is 1 .
LCM of 284,943 is 267812.
The greatest common factor of 9417/284,7406/943 = [GCF of 9417,7406]/[LCM of 284,943]= 1/267812
Therefore, the GCF of 9417/284,7406/943 is 1/267812.
To find the highest common factor of 9417,7406, we have to find the factors of both numbers and list the highest common factor.
The factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The HCF of 9417,7406 is 1.
Lets's calculate GCF of 9417,7406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9417,7406 By Matching Biggest Common Factor Method
Now, list down the factors of 9417
:1,3,43,73,129,219,3139,9417
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 9417,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 9417,7406 is 1.
Lets's calculate LCM of 284,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 267812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267812
Therefore, the GCF of Fractions 9417/284,7406/943 is 1/267812
Least Common Multiple of 284,943 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 284,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,943) x common factors =1 x 1 = 1
LCM(284,943) = ( 284 × 943 ) / 1
LCM(284,943) = 267812 / 1
LCM(284,943) = 267812
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9417/284, 7406/943
1. What is the HCF of 9417,7406?
The HCF of 9417,7406 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 9417/284, 7406/943?
Answer: GCF of Numerators as per given numbers 9417/284, 7406/943 is
GCF of Numerators i.e. for 9417,7406 is 1
LCM of denominators i.e. for 284,943 is 267812.
Thus, GCF of Fractions is 1/267812.Finally, GCF of Fractions for 9417/284, 7406/943 is 1/267812.