GCF of 9294/958, 7501/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9294/958, 7501/993 i.e 1/951294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9294/958, 7501/993.
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 9294/958,7501/993?
Given fractions are 9294/958,7501/993
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 9294/958,7501/993, numerators are 9294,7501
Denominators are 958,993
The GCF of 9294,7501 is 1 .
LCM of 958,993 is 951294.
The greatest common factor of 9294/958,7501/993 = [GCF of 9294,7501]/[LCM of 958,993]= 1/951294
Therefore, the GCF of 9294/958,7501/993 is 1/951294.
To find the highest common factor of 9294,7501, we have to find the factors of both numbers and list the highest common factor.
The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294
The factors of 7501 are 1, 13, 577, 7501
The HCF of 9294,7501 is 1.
Lets's calculate GCF of 9294,7501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9294,7501 By Matching Biggest Common Factor Method
Now, list down the factors of 9294
:1,2,3,6,1549,3098,4647,9294
Now, list down the factors of 7501
:1,13,577,7501
Greatest Common Factor
We found the factors 9294,7501 . The biggest common factor number is the GCF number.
So the greatest common factor 9294,7501 is 1.
Lets's calculate LCM of 958,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 951294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951294
Therefore, the GCF of Fractions 9294/958,7501/993 is 1/951294
Least Common Multiple of 958,993 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 958,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,993) x common factors =1 x 1 = 1
LCM(958,993) = ( 958 × 993 ) / 1
LCM(958,993) = 951294 / 1
LCM(958,993) = 951294
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FAQs on GCF of Fractions of 9294/958, 7501/993
1. What is the HCF of 9294,7501?
The HCF of 9294,7501 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 9294/958, 7501/993?
Answer: GCF of Numerators as per given numbers 9294/958, 7501/993 is
GCF of Numerators i.e. for 9294,7501 is 1
LCM of denominators i.e. for 958,993 is 951294.
Thus, GCF of Fractions is 1/951294.Finally, GCF of Fractions for 9294/958, 7501/993 is 1/951294.