GCF of 9947/363, 9660/1589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9947/363, 9660/1589 i.e 7/576807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9947/363, 9660/1589.
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 9947/363,9660/1589?
Given fractions are 9947/363,9660/1589
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 9947/363,9660/1589, numerators are 9947,9660
Denominators are 363,1589
The GCF of 9947,9660 is 7 .
LCM of 363,1589 is 576807.
The greatest common factor of 9947/363,9660/1589 = [GCF of 9947,9660]/[LCM of 363,1589]= 7/576807
Therefore, the GCF of 9947/363,9660/1589 is 7/576807.
To find the highest common factor of 9947,9660, 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 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660
The HCF of 9947,9660 is 7.
Lets's calculate GCF of 9947,9660
| 7 | 9947, 9660 |
| 1421, 1380 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9947,9660 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 9660
:1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660
Greatest Common Factor
We found the factors 9947,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 9947,9660 is 7.
Lets's calculate LCM of 363,1589
Given numbers has no common factors except 1. So, there LCM is their product i.e 576807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/576807
Therefore, the GCF of Fractions 9947/363,9660/1589 is 7/576807
Least Common Multiple of 363,1589 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 363,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,1589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,1589) x common factors =1 x 1 = 1
LCM(363,1589) = ( 363 × 1589 ) / 1
LCM(363,1589) = 576807 / 1
LCM(363,1589) = 576807
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FAQs on GCF of Fractions of 9947/363, 9660/1589
1. What is the HCF of 9947,9660?
The HCF of 9947,9660 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 9947/363, 9660/1589?
Answer: GCF of Numerators as per given numbers 9947/363, 9660/1589 is
GCF of Numerators i.e. for 9947,9660 is 7
LCM of denominators i.e. for 363,1589 is 576807.
Thus, GCF of Fractions is 7/576807.Finally, GCF of Fractions for 9947/363, 9660/1589 is 7/576807.