GCF of 7491/427, 7309/3409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7491/427, 7309/3409 i.e 1/207949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7491/427, 7309/3409.
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 7491/427,7309/3409?
Given fractions are 7491/427,7309/3409
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 7491/427,7309/3409, numerators are 7491,7309
Denominators are 427,3409
The GCF of 7491,7309 is 1 .
LCM of 427,3409 is 207949.
The greatest common factor of 7491/427,7309/3409 = [GCF of 7491,7309]/[LCM of 427,3409]= 1/207949
Therefore, the GCF of 7491/427,7309/3409 is 1/207949.
To find the highest common factor of 7491,7309, we have to find the factors of both numbers and list the highest common factor.
The factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491
The factors of 7309 are 1, 7309
The HCF of 7491,7309 is 1.
Lets's calculate GCF of 7491,7309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7491,7309 By Matching Biggest Common Factor Method
Now, list down the factors of 7491
:1,3,11,33,227,681,2497,7491
Now, list down the factors of 7309
:1,7309
Greatest Common Factor
We found the factors 7491,7309 . The biggest common factor number is the GCF number.
So the greatest common factor 7491,7309 is 1.
Lets's calculate LCM of 427,3409
| 7 | 427, 3409 |
| 61, 487 |
∴ So the LCM of the given numbers is 7 x 61 x 487 = 207949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207949
Therefore, the GCF of Fractions 7491/427,7309/3409 is 1/207949
Least Common Multiple of 427,3409 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 427,3409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,3409) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,3409) x common factors =7 x 1 = 7
LCM(427,3409) = ( 427 × 3409 ) / 7
LCM(427,3409) = 1455643 / 7
LCM(427,3409) = 207949
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FAQs on GCF of Fractions of 7491/427, 7309/3409
1. What is the HCF of 7491,7309?
The HCF of 7491,7309 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 7491/427, 7309/3409?
Answer: GCF of Numerators as per given numbers 7491/427, 7309/3409 is
GCF of Numerators i.e. for 7491,7309 is 1
LCM of denominators i.e. for 427,3409 is 207949.
Thus, GCF of Fractions is 1/207949.Finally, GCF of Fractions for 7491/427, 7309/3409 is 1/207949.