Use our free GCF of Fractions Calculator tool to compute the GCF of 9082/695, 9185/4583 i.e 1/3185185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9082/695, 9185/4583.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9082/695,9185/4583
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 9082/695,9185/4583, numerators are 9082,9185
Denominators are 695,4583
The GCF of 9082,9185 is 1 .
LCM of 695,4583 is 3185185.
The greatest common factor of 9082/695,9185/4583 = [GCF of 9082,9185]/[LCM of 695,4583]= 1/3185185
Therefore, the GCF of 9082/695,9185/4583 is 1/3185185.
To find the highest common factor of 9082,9185, we have to find the factors of both numbers and list the highest common factor.
The factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082
The factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185
The HCF of 9082,9185 is 1.
Lets's calculate GCF of 9082,9185
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9082
:1,2,19,38,239,478,4541,9082
Now, list down the factors of 9185
:1,5,11,55,167,835,1837,9185
Greatest Common Factor
We found the factors 9082,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 9082,9185 is 1.
Lets's calculate LCM of 695,4583
Given numbers has no common factors except 1. So, there LCM is their product i.e 3185185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3185185
Therefore, the GCF of Fractions 9082/695,9185/4583 is 1/3185185
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 695,4583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,4583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,4583) x common factors =1 x 1 = 1
LCM(695,4583) = ( 695 × 4583 ) / 1
LCM(695,4583) = 3185185 / 1
LCM(695,4583) = 3185185
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9082,9185?
The HCF of 9082,9185 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 9082/695, 9185/4583?
Answer: GCF of Numerators as per given numbers 9082/695, 9185/4583 is
GCF of Numerators i.e. for 9082,9185 is 1
LCM of denominators i.e. for 695,4583 is 3185185.
Thus, GCF of Fractions is 1/3185185.Finally, GCF of Fractions for 9082/695, 9185/4583 is 1/3185185.