GCF of 9387/338, 6503/994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9387/338, 6503/994 i.e 7/167986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9387/338, 6503/994.
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 9387/338,6503/994?
Given fractions are 9387/338,6503/994
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 9387/338,6503/994, numerators are 9387,6503
Denominators are 338,994
The GCF of 9387,6503 is 7 .
LCM of 338,994 is 167986.
The greatest common factor of 9387/338,6503/994 = [GCF of 9387,6503]/[LCM of 338,994]= 7/167986
Therefore, the GCF of 9387/338,6503/994 is 7/167986.
To find the highest common factor of 9387,6503, we have to find the factors of both numbers and list the highest common factor.
The factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387
The factors of 6503 are 1, 7, 929, 6503
The HCF of 9387,6503 is 7.
Lets's calculate GCF of 9387,6503
| 7 | 9387, 6503 |
| 1341, 929 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9387,6503 By Matching Biggest Common Factor Method
Now, list down the factors of 9387
:1,3,7,9,21,63,149,447,1043,1341,3129,9387
Now, list down the factors of 6503
:1,7,929,6503
Greatest Common Factor
We found the factors 9387,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 9387,6503 is 7.
Lets's calculate LCM of 338,994
| 2 | 338, 994 |
| 169, 497 |
∴ So the LCM of the given numbers is 2 x 169 x 497 = 167986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/167986
Therefore, the GCF of Fractions 9387/338,6503/994 is 7/167986
Least Common Multiple of 338,994 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 338,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,994) x common factors =2 x 1 = 2
LCM(338,994) = ( 338 × 994 ) / 2
LCM(338,994) = 335972 / 2
LCM(338,994) = 167986
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FAQs on GCF of Fractions of 9387/338, 6503/994
1. What is the HCF of 9387,6503?
The HCF of 9387,6503 is 7
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 9387/338, 6503/994?
Answer: GCF of Numerators as per given numbers 9387/338, 6503/994 is
GCF of Numerators i.e. for 9387,6503 is 7
LCM of denominators i.e. for 338,994 is 167986.
Thus, GCF of Fractions is 7/167986.Finally, GCF of Fractions for 9387/338, 6503/994 is 7/167986.