Use our free GCF of Fractions Calculator tool to compute the GCF of 928/365, 5655/3419 i.e 29/1247935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/365, 5655/3419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/365,5655/3419
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 928/365,5655/3419, numerators are 928,5655
Denominators are 365,3419
The GCF of 928,5655 is 29 .
LCM of 365,3419 is 1247935.
The greatest common factor of 928/365,5655/3419 = [GCF of 928,5655]/[LCM of 365,3419]= 29/1247935
Therefore, the GCF of 928/365,5655/3419 is 29/1247935.
To find the highest common factor of 928,5655, we have to find the factors of both numbers and list the highest common factor.
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The HCF of 928,5655 is 29.
Lets's calculate GCF of 928,5655
29 | 928, 5655 |
32, 195 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Now, list down the factors of 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Greatest Common Factor
We found the factors 928,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 928,5655 is 29.
Lets's calculate LCM of 365,3419
Given numbers has no common factors except 1. So, there LCM is their product i.e 1247935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1247935
Therefore, the GCF of Fractions 928/365,5655/3419 is 29/1247935
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 365,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,3419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,3419) x common factors =1 x 1 = 1
LCM(365,3419) = ( 365 × 3419 ) / 1
LCM(365,3419) = 1247935 / 1
LCM(365,3419) = 1247935
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 928,5655?
The HCF of 928,5655 is 29
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 928/365, 5655/3419?
Answer: GCF of Numerators as per given numbers 928/365, 5655/3419 is
GCF of Numerators i.e. for 928,5655 is 29
LCM of denominators i.e. for 365,3419 is 1247935.
Thus, GCF of Fractions is 29/1247935.Finally, GCF of Fractions for 928/365, 5655/3419 is 29/1247935.