GCF of 9073/346, 8170/3235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9073/346, 8170/3235 i.e 43/1119310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9073/346, 8170/3235.
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 9073/346,8170/3235?
Given fractions are 9073/346,8170/3235
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 9073/346,8170/3235, numerators are 9073,8170
Denominators are 346,3235
The GCF of 9073,8170 is 43 .
LCM of 346,3235 is 1119310.
The greatest common factor of 9073/346,8170/3235 = [GCF of 9073,8170]/[LCM of 346,3235]= 43/1119310
Therefore, the GCF of 9073/346,8170/3235 is 43/1119310.
To find the highest common factor of 9073,8170, we have to find the factors of both numbers and list the highest common factor.
The factors of 9073 are 1, 43, 211, 9073
The factors of 8170 are 1, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 8170
The HCF of 9073,8170 is 43.
Lets's calculate GCF of 9073,8170
| 43 | 9073, 8170 |
| 211, 190 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 9073,8170 By Matching Biggest Common Factor Method
Now, list down the factors of 9073
:1,43,211,9073
Now, list down the factors of 8170
:1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170
Greatest Common Factor
We found the factors 9073,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 9073,8170 is 43.
Lets's calculate LCM of 346,3235
Given numbers has no common factors except 1. So, there LCM is their product i.e 1119310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1119310
Therefore, the GCF of Fractions 9073/346,8170/3235 is 43/1119310
Least Common Multiple of 346,3235 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 346,3235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,3235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,3235) x common factors =1 x 1 = 1
LCM(346,3235) = ( 346 × 3235 ) / 1
LCM(346,3235) = 1119310 / 1
LCM(346,3235) = 1119310
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FAQs on GCF of Fractions of 9073/346, 8170/3235
1. What is the HCF of 9073,8170?
The HCF of 9073,8170 is 43
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 9073/346, 8170/3235?
Answer: GCF of Numerators as per given numbers 9073/346, 8170/3235 is
GCF of Numerators i.e. for 9073,8170 is 43
LCM of denominators i.e. for 346,3235 is 1119310.
Thus, GCF of Fractions is 43/1119310.Finally, GCF of Fractions for 9073/346, 8170/3235 is 43/1119310.