GCF of 9505/722, 8290/2094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9505/722, 8290/2094 i.e 5/755934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9505/722, 8290/2094.
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 9505/722,8290/2094?
Given fractions are 9505/722,8290/2094
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 9505/722,8290/2094, numerators are 9505,8290
Denominators are 722,2094
The GCF of 9505,8290 is 5 .
LCM of 722,2094 is 755934.
The greatest common factor of 9505/722,8290/2094 = [GCF of 9505,8290]/[LCM of 722,2094]= 5/755934
Therefore, the GCF of 9505/722,8290/2094 is 5/755934.
To find the highest common factor of 9505,8290, we have to find the factors of both numbers and list the highest common factor.
The factors of 9505 are 1, 5, 1901, 9505
The factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290
The HCF of 9505,8290 is 5.
Lets's calculate GCF of 9505,8290
| 5 | 9505, 8290 |
| 1901, 1658 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9505,8290 By Matching Biggest Common Factor Method
Now, list down the factors of 9505
:1,5,1901,9505
Now, list down the factors of 8290
:1,2,5,10,829,1658,4145,8290
Greatest Common Factor
We found the factors 9505,8290 . The biggest common factor number is the GCF number.
So the greatest common factor 9505,8290 is 5.
Lets's calculate LCM of 722,2094
| 2 | 722, 2094 |
| 361, 1047 |
∴ So the LCM of the given numbers is 2 x 361 x 1047 = 755934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/755934
Therefore, the GCF of Fractions 9505/722,8290/2094 is 5/755934
Least Common Multiple of 722,2094 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 722,2094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,2094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,2094) x common factors =2 x 1 = 2
LCM(722,2094) = ( 722 × 2094 ) / 2
LCM(722,2094) = 1511868 / 2
LCM(722,2094) = 755934
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FAQs on GCF of Fractions of 9505/722, 8290/2094
1. What is the HCF of 9505,8290?
The HCF of 9505,8290 is 5
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 9505/722, 8290/2094?
Answer: GCF of Numerators as per given numbers 9505/722, 8290/2094 is
GCF of Numerators i.e. for 9505,8290 is 5
LCM of denominators i.e. for 722,2094 is 755934.
Thus, GCF of Fractions is 5/755934.Finally, GCF of Fractions for 9505/722, 8290/2094 is 5/755934.