GCF of 7349/982, 5509/8081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7349/982, 5509/8081 i.e 1/7935542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7349/982, 5509/8081.
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 7349/982,5509/8081?
Given fractions are 7349/982,5509/8081
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 7349/982,5509/8081, numerators are 7349,5509
Denominators are 982,8081
The GCF of 7349,5509 is 1 .
LCM of 982,8081 is 7935542.
The greatest common factor of 7349/982,5509/8081 = [GCF of 7349,5509]/[LCM of 982,8081]= 1/7935542
Therefore, the GCF of 7349/982,5509/8081 is 1/7935542.
To find the highest common factor of 7349,5509, we have to find the factors of both numbers and list the highest common factor.
The factors of 7349 are 1, 7349
The factors of 5509 are 1, 7, 787, 5509
The HCF of 7349,5509 is 1.
Lets's calculate GCF of 7349,5509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7349,5509 By Matching Biggest Common Factor Method
Now, list down the factors of 7349
:1,7349
Now, list down the factors of 5509
:1,7,787,5509
Greatest Common Factor
We found the factors 7349,5509 . The biggest common factor number is the GCF number.
So the greatest common factor 7349,5509 is 1.
Lets's calculate LCM of 982,8081
Given numbers has no common factors except 1. So, there LCM is their product i.e 7935542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7935542
Therefore, the GCF of Fractions 7349/982,5509/8081 is 1/7935542
Least Common Multiple of 982,8081 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 982,8081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,8081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,8081) x common factors =1 x 1 = 1
LCM(982,8081) = ( 982 × 8081 ) / 1
LCM(982,8081) = 7935542 / 1
LCM(982,8081) = 7935542
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7349/982, 5509/8081
1. What is the HCF of 7349,5509?
The HCF of 7349,5509 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 7349/982, 5509/8081?
Answer: GCF of Numerators as per given numbers 7349/982, 5509/8081 is
GCF of Numerators i.e. for 7349,5509 is 1
LCM of denominators i.e. for 982,8081 is 7935542.
Thus, GCF of Fractions is 1/7935542.Finally, GCF of Fractions for 7349/982, 5509/8081 is 1/7935542.