Use our free GCF of Fractions Calculator tool to compute the GCF of 890/446, 178/240 i.e 178/53520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/446, 178/240.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/446,178/240
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 890/446,178/240, numerators are 890,178
Denominators are 446,240
The GCF of 890,178 is 178 .
LCM of 446,240 is 53520.
The greatest common factor of 890/446,178/240 = [GCF of 890,178]/[LCM of 446,240]= 178/53520
Therefore, the GCF of 890/446,178/240 is 178/53520.
To find the highest common factor of 890,178, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 178 are 1, 2, 89, 178
The HCF of 890,178 is 178.
Lets's calculate GCF of 890,178
2 | 890, 178 |
89 | 445, 89 |
5, 1 |
∴ So the GCF of the given numbers is 2 x 89 = 178
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 178
:1,2,89,178
Greatest Common Factor
We found the factors 890,178 . The biggest common factor number is the GCF number.
So the greatest common factor 890,178 is 178.
Lets's calculate LCM of 446,240
2 | 446, 240 |
223, 120 |
∴ So the LCM of the given numbers is 2 x 223 x 120 = 53520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 178/53520
Therefore, the GCF of Fractions 890/446,178/240 is 178/53520
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 446,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,240) x common factors =2 x 1 = 2
LCM(446,240) = ( 446 × 240 ) / 2
LCM(446,240) = 107040 / 2
LCM(446,240) = 53520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,178?
The HCF of 890,178 is 178
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 890/446, 178/240?
Answer: GCF of Numerators as per given numbers 890/446, 178/240 is
GCF of Numerators i.e. for 890,178 is 178
LCM of denominators i.e. for 446,240 is 53520.
Thus, GCF of Fractions is 178/53520.Finally, GCF of Fractions for 890/446, 178/240 is 178/53520.