Use our free GCF of Fractions Calculator tool to compute the GCF of 440/236, 385/877 i.e 55/206972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/236, 385/877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/236,385/877
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 440/236,385/877, numerators are 440,385
Denominators are 236,877
The GCF of 440,385 is 55 .
LCM of 236,877 is 206972.
The greatest common factor of 440/236,385/877 = [GCF of 440,385]/[LCM of 236,877]= 55/206972
Therefore, the GCF of 440/236,385/877 is 55/206972.
To find the highest common factor of 440,385, 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 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 440,385 is 55.
Lets's calculate GCF of 440,385
5 | 440, 385 |
11 | 88, 77 |
8, 7 |
∴ So the GCF of the given numbers is 5 x 11 = 55
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 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 440,385 . The biggest common factor number is the GCF number.
So the greatest common factor 440,385 is 55.
Lets's calculate LCM of 236,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 206972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/206972
Therefore, the GCF of Fractions 440/236,385/877 is 55/206972
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 236,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,877) x common factors =1 x 1 = 1
LCM(236,877) = ( 236 × 877 ) / 1
LCM(236,877) = 206972 / 1
LCM(236,877) = 206972
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 440,385?
The HCF of 440,385 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 440/236, 385/877?
Answer: GCF of Numerators as per given numbers 440/236, 385/877 is
GCF of Numerators i.e. for 440,385 is 55
LCM of denominators i.e. for 236,877 is 206972.
Thus, GCF of Fractions is 55/206972.Finally, GCF of Fractions for 440/236, 385/877 is 55/206972.