GCF of 9947/579, 3003/9385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9947/579, 3003/9385 i.e 7/5433915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9947/579, 3003/9385.
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 9947/579,3003/9385?
Given fractions are 9947/579,3003/9385
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 9947/579,3003/9385, numerators are 9947,3003
Denominators are 579,9385
The GCF of 9947,3003 is 7 .
LCM of 579,9385 is 5433915.
The greatest common factor of 9947/579,3003/9385 = [GCF of 9947,3003]/[LCM of 579,9385]= 7/5433915
Therefore, the GCF of 9947/579,3003/9385 is 7/5433915.
To find the highest common factor of 9947,3003, we have to find the factors of both numbers and list the highest common factor.
The factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The HCF of 9947,3003 is 7.
Lets's calculate GCF of 9947,3003
| 7 | 9947, 3003 |
| 1421, 429 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9947,3003 By Matching Biggest Common Factor Method
Now, list down the factors of 9947
:1,7,29,49,203,343,1421,9947
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Greatest Common Factor
We found the factors 9947,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 9947,3003 is 7.
Lets's calculate LCM of 579,9385
Given numbers has no common factors except 1. So, there LCM is their product i.e 5433915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5433915
Therefore, the GCF of Fractions 9947/579,3003/9385 is 7/5433915
Least Common Multiple of 579,9385 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 579,9385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,9385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,9385) x common factors =1 x 1 = 1
LCM(579,9385) = ( 579 × 9385 ) / 1
LCM(579,9385) = 5433915 / 1
LCM(579,9385) = 5433915
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FAQs on GCF of Fractions of 9947/579, 3003/9385
1. What is the HCF of 9947,3003?
The HCF of 9947,3003 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 9947/579, 3003/9385?
Answer: GCF of Numerators as per given numbers 9947/579, 3003/9385 is
GCF of Numerators i.e. for 9947,3003 is 7
LCM of denominators i.e. for 579,9385 is 5433915.
Thus, GCF of Fractions is 7/5433915.Finally, GCF of Fractions for 9947/579, 3003/9385 is 7/5433915.