Use our free GCF of Fractions Calculator tool to compute the GCF of 365/969, 905/642 i.e 5/207366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 365/969, 905/642.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 365/969,905/642
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 365/969,905/642, numerators are 365,905
Denominators are 969,642
The GCF of 365,905 is 5 .
LCM of 969,642 is 207366.
The greatest common factor of 365/969,905/642 = [GCF of 365,905]/[LCM of 969,642]= 5/207366
Therefore, the GCF of 365/969,905/642 is 5/207366.
To find the highest common factor of 365,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 365 are 1, 5, 73, 365
The factors of 905 are 1, 5, 181, 905
The HCF of 365,905 is 5.
Lets's calculate GCF of 365,905
5 | 365, 905 |
73, 181 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 365
:1,5,73,365
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 365,905 . The biggest common factor number is the GCF number.
So the greatest common factor 365,905 is 5.
Lets's calculate LCM of 969,642
3 | 969, 642 |
323, 214 |
∴ So the LCM of the given numbers is 3 x 323 x 214 = 207366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/207366
Therefore, the GCF of Fractions 365/969,905/642 is 5/207366
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 969,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,642) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,642) x common factors =3 x 1 = 3
LCM(969,642) = ( 969 × 642 ) / 3
LCM(969,642) = 622098 / 3
LCM(969,642) = 207366
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 365,905?
The HCF of 365,905 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 365/969, 905/642?
Answer: GCF of Numerators as per given numbers 365/969, 905/642 is
GCF of Numerators i.e. for 365,905 is 5
LCM of denominators i.e. for 969,642 is 207366.
Thus, GCF of Fractions is 5/207366.Finally, GCF of Fractions for 365/969, 905/642 is 5/207366.