Use our free GCF of Fractions Calculator tool to compute the GCF of 165/363, 880/131 i.e 55/47553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 165/363, 880/131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 165/363,880/131
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 165/363,880/131, numerators are 165,880
Denominators are 363,131
The GCF of 165,880 is 55 .
LCM of 363,131 is 47553.
The greatest common factor of 165/363,880/131 = [GCF of 165,880]/[LCM of 363,131]= 55/47553
Therefore, the GCF of 165/363,880/131 is 55/47553.
To find the highest common factor of 165,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 165,880 is 55.
Lets's calculate GCF of 165,880
5 | 165, 880 |
11 | 33, 176 |
3, 16 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 165,880 . The biggest common factor number is the GCF number.
So the greatest common factor 165,880 is 55.
Lets's calculate LCM of 363,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 47553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/47553
Therefore, the GCF of Fractions 165/363,880/131 is 55/47553
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 363,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,131) x common factors =1 x 1 = 1
LCM(363,131) = ( 363 × 131 ) / 1
LCM(363,131) = 47553 / 1
LCM(363,131) = 47553
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 165,880?
The HCF of 165,880 is 55
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 165/363, 880/131?
Answer: GCF of Numerators as per given numbers 165/363, 880/131 is
GCF of Numerators i.e. for 165,880 is 55
LCM of denominators i.e. for 363,131 is 47553.
Thus, GCF of Fractions is 55/47553.Finally, GCF of Fractions for 165/363, 880/131 is 55/47553.