GCF of 6603/942, 7307/8517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6603/942, 7307/8517 i.e 1/2674338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6603/942, 7307/8517.
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 6603/942,7307/8517?
Given fractions are 6603/942,7307/8517
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 6603/942,7307/8517, numerators are 6603,7307
Denominators are 942,8517
The GCF of 6603,7307 is 1 .
LCM of 942,8517 is 2674338.
The greatest common factor of 6603/942,7307/8517 = [GCF of 6603,7307]/[LCM of 942,8517]= 1/2674338
Therefore, the GCF of 6603/942,7307/8517 is 1/2674338.
To find the highest common factor of 6603,7307, we have to find the factors of both numbers and list the highest common factor.
The factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603
The factors of 7307 are 1, 7307
The HCF of 6603,7307 is 1.
Lets's calculate GCF of 6603,7307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6603,7307 By Matching Biggest Common Factor Method
Now, list down the factors of 6603
:1,3,31,71,93,213,2201,6603
Now, list down the factors of 7307
:1,7307
Greatest Common Factor
We found the factors 6603,7307 . The biggest common factor number is the GCF number.
So the greatest common factor 6603,7307 is 1.
Lets's calculate LCM of 942,8517
| 3 | 942, 8517 |
| 314, 2839 |
∴ So the LCM of the given numbers is 3 x 314 x 2839 = 2674338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2674338
Therefore, the GCF of Fractions 6603/942,7307/8517 is 1/2674338
Least Common Multiple of 942,8517 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 942,8517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,8517) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(942,8517) x common factors =3 x 1 = 3
LCM(942,8517) = ( 942 × 8517 ) / 3
LCM(942,8517) = 8023014 / 3
LCM(942,8517) = 2674338
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FAQs on GCF of Fractions of 6603/942, 7307/8517
1. What is the HCF of 6603,7307?
The HCF of 6603,7307 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 6603/942, 7307/8517?
Answer: GCF of Numerators as per given numbers 6603/942, 7307/8517 is
GCF of Numerators i.e. for 6603,7307 is 1
LCM of denominators i.e. for 942,8517 is 2674338.
Thus, GCF of Fractions is 1/2674338.Finally, GCF of Fractions for 6603/942, 7307/8517 is 1/2674338.