GCF of 9303/638, 7124/3026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9303/638, 7124/3026 i.e 1/965294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9303/638, 7124/3026.
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 9303/638,7124/3026?
Given fractions are 9303/638,7124/3026
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 9303/638,7124/3026, numerators are 9303,7124
Denominators are 638,3026
The GCF of 9303,7124 is 1 .
LCM of 638,3026 is 965294.
The greatest common factor of 9303/638,7124/3026 = [GCF of 9303,7124]/[LCM of 638,3026]= 1/965294
Therefore, the GCF of 9303/638,7124/3026 is 1/965294.
To find the highest common factor of 9303,7124, we have to find the factors of both numbers and list the highest common factor.
The factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The HCF of 9303,7124 is 1.
Lets's calculate GCF of 9303,7124
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9303,7124 By Matching Biggest Common Factor Method
Now, list down the factors of 9303
:1,3,7,21,443,1329,3101,9303
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 9303,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,7124 is 1.
Lets's calculate LCM of 638,3026
| 2 | 638, 3026 |
| 319, 1513 |
∴ So the LCM of the given numbers is 2 x 319 x 1513 = 965294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/965294
Therefore, the GCF of Fractions 9303/638,7124/3026 is 1/965294
Least Common Multiple of 638,3026 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 638,3026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,3026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,3026) x common factors =2 x 1 = 2
LCM(638,3026) = ( 638 × 3026 ) / 2
LCM(638,3026) = 1930588 / 2
LCM(638,3026) = 965294
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FAQs on GCF of Fractions of 9303/638, 7124/3026
1. What is the HCF of 9303,7124?
The HCF of 9303,7124 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 9303/638, 7124/3026?
Answer: GCF of Numerators as per given numbers 9303/638, 7124/3026 is
GCF of Numerators i.e. for 9303,7124 is 1
LCM of denominators i.e. for 638,3026 is 965294.
Thus, GCF of Fractions is 1/965294.Finally, GCF of Fractions for 9303/638, 7124/3026 is 1/965294.