Use our free GCF of Fractions Calculator tool to compute the GCF of 2720/320, 2144/203 i.e 32/64960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2720/320, 2144/203.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2720/320,2144/203
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 2720/320,2144/203, numerators are 2720,2144
Denominators are 320,203
The GCF of 2720,2144 is 32 .
LCM of 320,203 is 64960.
The greatest common factor of 2720/320,2144/203 = [GCF of 2720,2144]/[LCM of 320,203]= 32/64960
Therefore, the GCF of 2720/320,2144/203 is 32/64960.
To find the highest common factor of 2720,2144, we have to find the factors of both numbers and list the highest common factor.
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144
The HCF of 2720,2144 is 32.
Lets's calculate GCF of 2720,2144
2 | 2720, 2144 |
2 | 1360, 1072 |
2 | 680, 536 |
2 | 340, 268 |
2 | 170, 134 |
85, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Now, list down the factors of 2144
:1,2,4,8,16,32,67,134,268,536,1072,2144
Greatest Common Factor
We found the factors 2720,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,2144 is 32.
Lets's calculate LCM of 320,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 64960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/64960
Therefore, the GCF of Fractions 2720/320,2144/203 is 32/64960
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 320,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,203) x common factors =1 x 1 = 1
LCM(320,203) = ( 320 × 203 ) / 1
LCM(320,203) = 64960 / 1
LCM(320,203) = 64960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2720,2144?
The HCF of 2720,2144 is 32
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 2720/320, 2144/203?
Answer: GCF of Numerators as per given numbers 2720/320, 2144/203 is
GCF of Numerators i.e. for 2720,2144 is 32
LCM of denominators i.e. for 320,203 is 64960.
Thus, GCF of Fractions is 32/64960.Finally, GCF of Fractions for 2720/320, 2144/203 is 32/64960.