Use our free GCF of Fractions Calculator tool to compute the GCF of 110/366, 645/736 i.e 5/134688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/366, 645/736.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/366,645/736
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 110/366,645/736, numerators are 110,645
Denominators are 366,736
The GCF of 110,645 is 5 .
LCM of 366,736 is 134688.
The greatest common factor of 110/366,645/736 = [GCF of 110,645]/[LCM of 366,736]= 5/134688
Therefore, the GCF of 110/366,645/736 is 5/134688.
To find the highest common factor of 110,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 110,645 is 5.
Lets's calculate GCF of 110,645
5 | 110, 645 |
22, 129 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 110,645 . The biggest common factor number is the GCF number.
So the greatest common factor 110,645 is 5.
Lets's calculate LCM of 366,736
2 | 366, 736 |
183, 368 |
∴ So the LCM of the given numbers is 2 x 183 x 368 = 134688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/134688
Therefore, the GCF of Fractions 110/366,645/736 is 5/134688
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 366,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,736) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,736) x common factors =2 x 1 = 2
LCM(366,736) = ( 366 × 736 ) / 2
LCM(366,736) = 269376 / 2
LCM(366,736) = 134688
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 110,645?
The HCF of 110,645 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 110/366, 645/736?
Answer: GCF of Numerators as per given numbers 110/366, 645/736 is
GCF of Numerators i.e. for 110,645 is 5
LCM of denominators i.e. for 366,736 is 134688.
Thus, GCF of Fractions is 5/134688.Finally, GCF of Fractions for 110/366, 645/736 is 5/134688.