GCF of 8660/993, 9293/1410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8660/993, 9293/1410 i.e 1/466710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8660/993, 9293/1410.
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 8660/993,9293/1410?
Given fractions are 8660/993,9293/1410
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 8660/993,9293/1410, numerators are 8660,9293
Denominators are 993,1410
The GCF of 8660,9293 is 1 .
LCM of 993,1410 is 466710.
The greatest common factor of 8660/993,9293/1410 = [GCF of 8660,9293]/[LCM of 993,1410]= 1/466710
Therefore, the GCF of 8660/993,9293/1410 is 1/466710.
To find the highest common factor of 8660,9293, we have to find the factors of both numbers and list the highest common factor.
The factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660
The factors of 9293 are 1, 9293
The HCF of 8660,9293 is 1.
Lets's calculate GCF of 8660,9293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8660,9293 By Matching Biggest Common Factor Method
Now, list down the factors of 8660
:1,2,4,5,10,20,433,866,1732,2165,4330,8660
Now, list down the factors of 9293
:1,9293
Greatest Common Factor
We found the factors 8660,9293 . The biggest common factor number is the GCF number.
So the greatest common factor 8660,9293 is 1.
Lets's calculate LCM of 993,1410
| 3 | 993, 1410 |
| 331, 470 |
∴ So the LCM of the given numbers is 3 x 331 x 470 = 466710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466710
Therefore, the GCF of Fractions 8660/993,9293/1410 is 1/466710
Least Common Multiple of 993,1410 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 993,1410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,1410) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,1410) x common factors =3 x 1 = 3
LCM(993,1410) = ( 993 × 1410 ) / 3
LCM(993,1410) = 1400130 / 3
LCM(993,1410) = 466710
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FAQs on GCF of Fractions of 8660/993, 9293/1410
1. What is the HCF of 8660,9293?
The HCF of 8660,9293 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 8660/993, 9293/1410?
Answer: GCF of Numerators as per given numbers 8660/993, 9293/1410 is
GCF of Numerators i.e. for 8660,9293 is 1
LCM of denominators i.e. for 993,1410 is 466710.
Thus, GCF of Fractions is 1/466710.Finally, GCF of Fractions for 8660/993, 9293/1410 is 1/466710.