Use our free GCF of Fractions Calculator tool to compute the GCF of 870/741, 905/426 i.e 5/105222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 870/741, 905/426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 870/741,905/426
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 870/741,905/426, numerators are 870,905
Denominators are 741,426
The GCF of 870,905 is 5 .
LCM of 741,426 is 105222.
The greatest common factor of 870/741,905/426 = [GCF of 870,905]/[LCM of 741,426]= 5/105222
Therefore, the GCF of 870/741,905/426 is 5/105222.
To find the highest common factor of 870,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The factors of 905 are 1, 5, 181, 905
The HCF of 870,905 is 5.
Lets's calculate GCF of 870,905
5 | 870, 905 |
174, 181 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 870,905 . The biggest common factor number is the GCF number.
So the greatest common factor 870,905 is 5.
Lets's calculate LCM of 741,426
3 | 741, 426 |
247, 142 |
∴ So the LCM of the given numbers is 3 x 247 x 142 = 105222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/105222
Therefore, the GCF of Fractions 870/741,905/426 is 5/105222
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 741,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,426) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,426) x common factors =3 x 1 = 3
LCM(741,426) = ( 741 × 426 ) / 3
LCM(741,426) = 315666 / 3
LCM(741,426) = 105222
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 870,905?
The HCF of 870,905 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 870/741, 905/426?
Answer: GCF of Numerators as per given numbers 870/741, 905/426 is
GCF of Numerators i.e. for 870,905 is 5
LCM of denominators i.e. for 741,426 is 105222.
Thus, GCF of Fractions is 5/105222.Finally, GCF of Fractions for 870/741, 905/426 is 5/105222.