Use our free GCF of Fractions Calculator tool to compute the GCF of 440/632, 745/266 i.e 5/84056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/632, 745/266.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/632,745/266
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 440/632,745/266, numerators are 440,745
Denominators are 632,266
The GCF of 440,745 is 5 .
LCM of 632,266 is 84056.
The greatest common factor of 440/632,745/266 = [GCF of 440,745]/[LCM of 632,266]= 5/84056
Therefore, the GCF of 440/632,745/266 is 5/84056.
To find the highest common factor of 440,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 745 are 1, 5, 149, 745
The HCF of 440,745 is 5.
Lets's calculate GCF of 440,745
5 | 440, 745 |
88, 149 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 440,745 . The biggest common factor number is the GCF number.
So the greatest common factor 440,745 is 5.
Lets's calculate LCM of 632,266
2 | 632, 266 |
316, 133 |
∴ So the LCM of the given numbers is 2 x 316 x 133 = 84056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/84056
Therefore, the GCF of Fractions 440/632,745/266 is 5/84056
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 632,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,266) x common factors =2 x 1 = 2
LCM(632,266) = ( 632 × 266 ) / 2
LCM(632,266) = 168112 / 2
LCM(632,266) = 84056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 440,745?
The HCF of 440,745 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 440/632, 745/266?
Answer: GCF of Numerators as per given numbers 440/632, 745/266 is
GCF of Numerators i.e. for 440,745 is 5
LCM of denominators i.e. for 632,266 is 84056.
Thus, GCF of Fractions is 5/84056.Finally, GCF of Fractions for 440/632, 745/266 is 5/84056.