Use our free GCF of Fractions Calculator tool to compute the GCF of 55/23, 320/80, 470/179 i.e 5/329360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/23, 320/80, 470/179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/23,320/80,470/179
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 55/23,320/80,470/179, numerators are 55,320,470
Denominators are 23,80,179
The GCF of 55,320,470 is 5 .
LCM of 23,80,179 is 329360.
The greatest common factor of 55/23,320/80,470/179 = [GCF of 55,320,470]/[LCM of 23,80,179]= 5/329360
Therefore, the GCF of 55/23,320/80,470/179 is 5/329360.
To find the highest common factor of 55,320,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 55,320,470 is 5.
Lets's calculate GCF of 55,320,470
5 | 55, 320, 470 |
11, 64, 94 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 55,320,470 . The biggest common factor number is the GCF number.
So the greatest common factor 55,320,470 is 5.
Lets's calculate LCM of 23,80,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 329360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/329360
Therefore, the GCF of Fractions 55/23,320/80,470/179 is 5/329360
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 23,80,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,80,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,80,179) x common factors =1 x 1 = 1
LCM(23,80,179) = ( 23 × 80 × 179 ) / 1
LCM(23,80,179) = 329360 / 1
LCM(23,80,179) = 329360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,320,470?
The HCF of 55,320,470 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 55/23, 320/80, 470/179?
Answer: GCF of Numerators as per given numbers 55/23, 320/80, 470/179 is
GCF of Numerators i.e. for 55,320,470 is 5
LCM of denominators i.e. for 23,80,179 is 329360.
Thus, GCF of Fractions is 5/329360.Finally, GCF of Fractions for 55/23, 320/80, 470/179 is 5/329360.