GCF of 9763/491, 6988/3223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9763/491, 6988/3223 i.e 1/1582493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9763/491, 6988/3223.
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 9763/491,6988/3223?
Given fractions are 9763/491,6988/3223
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 9763/491,6988/3223, numerators are 9763,6988
Denominators are 491,3223
The GCF of 9763,6988 is 1 .
LCM of 491,3223 is 1582493.
The greatest common factor of 9763/491,6988/3223 = [GCF of 9763,6988]/[LCM of 491,3223]= 1/1582493
Therefore, the GCF of 9763/491,6988/3223 is 1/1582493.
To find the highest common factor of 9763,6988, we have to find the factors of both numbers and list the highest common factor.
The factors of 9763 are 1, 13, 751, 9763
The factors of 6988 are 1, 2, 4, 1747, 3494, 6988
The HCF of 9763,6988 is 1.
Lets's calculate GCF of 9763,6988
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9763,6988 By Matching Biggest Common Factor Method
Now, list down the factors of 9763
:1,13,751,9763
Now, list down the factors of 6988
:1,2,4,1747,3494,6988
Greatest Common Factor
We found the factors 9763,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 9763,6988 is 1.
Lets's calculate LCM of 491,3223
Given numbers has no common factors except 1. So, there LCM is their product i.e 1582493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1582493
Therefore, the GCF of Fractions 9763/491,6988/3223 is 1/1582493
Least Common Multiple of 491,3223 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 491,3223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,3223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,3223) x common factors =1 x 1 = 1
LCM(491,3223) = ( 491 × 3223 ) / 1
LCM(491,3223) = 1582493 / 1
LCM(491,3223) = 1582493
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9763/491, 6988/3223
1. What is the HCF of 9763,6988?
The HCF of 9763,6988 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 9763/491, 6988/3223?
Answer: GCF of Numerators as per given numbers 9763/491, 6988/3223 is
GCF of Numerators i.e. for 9763,6988 is 1
LCM of denominators i.e. for 491,3223 is 1582493.
Thus, GCF of Fractions is 1/1582493.Finally, GCF of Fractions for 9763/491, 6988/3223 is 1/1582493.