GCF of 9563/295, 8284/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9563/295, 8284/350 i.e 1/20650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9563/295, 8284/350.
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 9563/295,8284/350?
Given fractions are 9563/295,8284/350
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 9563/295,8284/350, numerators are 9563,8284
Denominators are 295,350
The GCF of 9563,8284 is 1 .
LCM of 295,350 is 20650.
The greatest common factor of 9563/295,8284/350 = [GCF of 9563,8284]/[LCM of 295,350]= 1/20650
Therefore, the GCF of 9563/295,8284/350 is 1/20650.
To find the highest common factor of 9563,8284, we have to find the factors of both numbers and list the highest common factor.
The factors of 9563 are 1, 73, 131, 9563
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The HCF of 9563,8284 is 1.
Lets's calculate GCF of 9563,8284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9563,8284 By Matching Biggest Common Factor Method
Now, list down the factors of 9563
:1,73,131,9563
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Greatest Common Factor
We found the factors 9563,8284 . The biggest common factor number is the GCF number.
So the greatest common factor 9563,8284 is 1.
Lets's calculate LCM of 295,350
| 5 | 295, 350 |
| 59, 70 |
∴ So the LCM of the given numbers is 5 x 59 x 70 = 20650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20650
Therefore, the GCF of Fractions 9563/295,8284/350 is 1/20650
Least Common Multiple of 295,350 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 295,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,350) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,350) x common factors =5 x 1 = 5
LCM(295,350) = ( 295 × 350 ) / 5
LCM(295,350) = 103250 / 5
LCM(295,350) = 20650
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FAQs on GCF of Fractions of 9563/295, 8284/350
1. What is the HCF of 9563,8284?
The HCF of 9563,8284 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 9563/295, 8284/350?
Answer: GCF of Numerators as per given numbers 9563/295, 8284/350 is
GCF of Numerators i.e. for 9563,8284 is 1
LCM of denominators i.e. for 295,350 is 20650.
Thus, GCF of Fractions is 1/20650.Finally, GCF of Fractions for 9563/295, 8284/350 is 1/20650.