GCF of 8351/491, 6896/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8351/491, 6896/962 i.e 1/472342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8351/491, 6896/962.
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 8351/491,6896/962?
Given fractions are 8351/491,6896/962
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 8351/491,6896/962, numerators are 8351,6896
Denominators are 491,962
The GCF of 8351,6896 is 1 .
LCM of 491,962 is 472342.
The greatest common factor of 8351/491,6896/962 = [GCF of 8351,6896]/[LCM of 491,962]= 1/472342
Therefore, the GCF of 8351/491,6896/962 is 1/472342.
To find the highest common factor of 8351,6896, we have to find the factors of both numbers and list the highest common factor.
The factors of 8351 are 1, 7, 1193, 8351
The factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896
The HCF of 8351,6896 is 1.
Lets's calculate GCF of 8351,6896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8351,6896 By Matching Biggest Common Factor Method
Now, list down the factors of 8351
:1,7,1193,8351
Now, list down the factors of 6896
:1,2,4,8,16,431,862,1724,3448,6896
Greatest Common Factor
We found the factors 8351,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 8351,6896 is 1.
Lets's calculate LCM of 491,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 472342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472342
Therefore, the GCF of Fractions 8351/491,6896/962 is 1/472342
Least Common Multiple of 491,962 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 491,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,962) x common factors =1 x 1 = 1
LCM(491,962) = ( 491 × 962 ) / 1
LCM(491,962) = 472342 / 1
LCM(491,962) = 472342
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8351/491, 6896/962
1. What is the HCF of 8351,6896?
The HCF of 8351,6896 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 8351/491, 6896/962?
Answer: GCF of Numerators as per given numbers 8351/491, 6896/962 is
GCF of Numerators i.e. for 8351,6896 is 1
LCM of denominators i.e. for 491,962 is 472342.
Thus, GCF of Fractions is 1/472342.Finally, GCF of Fractions for 8351/491, 6896/962 is 1/472342.