GCF of 8366/305, 9380/5075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8366/305, 9380/5075 i.e 2/309575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8366/305, 9380/5075.
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 8366/305,9380/5075?
Given fractions are 8366/305,9380/5075
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 8366/305,9380/5075, numerators are 8366,9380
Denominators are 305,5075
The GCF of 8366,9380 is 2 .
LCM of 305,5075 is 309575.
The greatest common factor of 8366/305,9380/5075 = [GCF of 8366,9380]/[LCM of 305,5075]= 2/309575
Therefore, the GCF of 8366/305,9380/5075 is 2/309575.
To find the highest common factor of 8366,9380, we have to find the factors of both numbers and list the highest common factor.
The factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366
The factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380
The HCF of 8366,9380 is 2.
Lets's calculate GCF of 8366,9380
| 2 | 8366, 9380 |
| 4183, 4690 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8366,9380 By Matching Biggest Common Factor Method
Now, list down the factors of 8366
:1,2,47,89,94,178,4183,8366
Now, list down the factors of 9380
:1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Greatest Common Factor
We found the factors 8366,9380 . The biggest common factor number is the GCF number.
So the greatest common factor 8366,9380 is 2.
Lets's calculate LCM of 305,5075
| 5 | 305, 5075 |
| 61, 1015 |
∴ So the LCM of the given numbers is 5 x 61 x 1015 = 309575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/309575
Therefore, the GCF of Fractions 8366/305,9380/5075 is 2/309575
Least Common Multiple of 305,5075 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 305,5075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,5075) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,5075) x common factors =5 x 1 = 5
LCM(305,5075) = ( 305 × 5075 ) / 5
LCM(305,5075) = 1547875 / 5
LCM(305,5075) = 309575
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FAQs on GCF of Fractions of 8366/305, 9380/5075
1. What is the HCF of 8366,9380?
The HCF of 8366,9380 is 2
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 8366/305, 9380/5075?
Answer: GCF of Numerators as per given numbers 8366/305, 9380/5075 is
GCF of Numerators i.e. for 8366,9380 is 2
LCM of denominators i.e. for 305,5075 is 309575.
Thus, GCF of Fractions is 2/309575.Finally, GCF of Fractions for 8366/305, 9380/5075 is 2/309575.