Use our free GCF of Fractions Calculator tool to compute the GCF of 9655/479, 9218/7169 i.e 1/3433951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9655/479, 9218/7169.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9655/479,9218/7169
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 9655/479,9218/7169, numerators are 9655,9218
Denominators are 479,7169
The GCF of 9655,9218 is 1 .
LCM of 479,7169 is 3433951.
The greatest common factor of 9655/479,9218/7169 = [GCF of 9655,9218]/[LCM of 479,7169]= 1/3433951
Therefore, the GCF of 9655/479,9218/7169 is 1/3433951.
To find the highest common factor of 9655,9218, we have to find the factors of both numbers and list the highest common factor.
The factors of 9655 are 1, 5, 1931, 9655
The factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218
The HCF of 9655,9218 is 1.
Lets's calculate GCF of 9655,9218
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9655
:1,5,1931,9655
Now, list down the factors of 9218
:1,2,11,22,419,838,4609,9218
Greatest Common Factor
We found the factors 9655,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 9655,9218 is 1.
Lets's calculate LCM of 479,7169
Given numbers has no common factors except 1. So, there LCM is their product i.e 3433951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3433951
Therefore, the GCF of Fractions 9655/479,9218/7169 is 1/3433951
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 479,7169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,7169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,7169) x common factors =1 x 1 = 1
LCM(479,7169) = ( 479 × 7169 ) / 1
LCM(479,7169) = 3433951 / 1
LCM(479,7169) = 3433951
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9655,9218?
The HCF of 9655,9218 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 9655/479, 9218/7169?
Answer: GCF of Numerators as per given numbers 9655/479, 9218/7169 is
GCF of Numerators i.e. for 9655,9218 is 1
LCM of denominators i.e. for 479,7169 is 3433951.
Thus, GCF of Fractions is 1/3433951.Finally, GCF of Fractions for 9655/479, 9218/7169 is 1/3433951.