GCF of 7694/791, 8117/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7694/791, 8117/496 i.e 1/392336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7694/791, 8117/496.
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 7694/791,8117/496?
Given fractions are 7694/791,8117/496
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 7694/791,8117/496, numerators are 7694,8117
Denominators are 791,496
The GCF of 7694,8117 is 1 .
LCM of 791,496 is 392336.
The greatest common factor of 7694/791,8117/496 = [GCF of 7694,8117]/[LCM of 791,496]= 1/392336
Therefore, the GCF of 7694/791,8117/496 is 1/392336.
To find the highest common factor of 7694,8117, we have to find the factors of both numbers and list the highest common factor.
The factors of 7694 are 1, 2, 3847, 7694
The factors of 8117 are 1, 8117
The HCF of 7694,8117 is 1.
Lets's calculate GCF of 7694,8117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7694,8117 By Matching Biggest Common Factor Method
Now, list down the factors of 7694
:1,2,3847,7694
Now, list down the factors of 8117
:1,8117
Greatest Common Factor
We found the factors 7694,8117 . The biggest common factor number is the GCF number.
So the greatest common factor 7694,8117 is 1.
Lets's calculate LCM of 791,496
Given numbers has no common factors except 1. So, there LCM is their product i.e 392336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392336
Therefore, the GCF of Fractions 7694/791,8117/496 is 1/392336
Least Common Multiple of 791,496 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 791,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,496) x common factors =1 x 1 = 1
LCM(791,496) = ( 791 × 496 ) / 1
LCM(791,496) = 392336 / 1
LCM(791,496) = 392336
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FAQs on GCF of Fractions of 7694/791, 8117/496
1. What is the HCF of 7694,8117?
The HCF of 7694,8117 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 7694/791, 8117/496?
Answer: GCF of Numerators as per given numbers 7694/791, 8117/496 is
GCF of Numerators i.e. for 7694,8117 is 1
LCM of denominators i.e. for 791,496 is 392336.
Thus, GCF of Fractions is 1/392336.Finally, GCF of Fractions for 7694/791, 8117/496 is 1/392336.