Use our free GCF of Fractions Calculator tool to compute the GCF of 905/583, 421/960 i.e 1/559680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/583, 421/960.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 905/583,421/960
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 905/583,421/960, numerators are 905,421
Denominators are 583,960
The GCF of 905,421 is 1 .
LCM of 583,960 is 559680.
The greatest common factor of 905/583,421/960 = [GCF of 905,421]/[LCM of 583,960]= 1/559680
Therefore, the GCF of 905/583,421/960 is 1/559680.
To find the highest common factor of 905,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 905 are 1, 5, 181, 905
The factors of 421 are 1, 421
The HCF of 905,421 is 1.
Lets's calculate GCF of 905,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 905,421 . The biggest common factor number is the GCF number.
So the greatest common factor 905,421 is 1.
Lets's calculate LCM of 583,960
Given numbers has no common factors except 1. So, there LCM is their product i.e 559680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559680
Therefore, the GCF of Fractions 905/583,421/960 is 1/559680
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 583,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,960) x common factors =1 x 1 = 1
LCM(583,960) = ( 583 × 960 ) / 1
LCM(583,960) = 559680 / 1
LCM(583,960) = 559680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 905,421?
The HCF of 905,421 is 1
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 905/583, 421/960?
Answer: GCF of Numerators as per given numbers 905/583, 421/960 is
GCF of Numerators i.e. for 905,421 is 1
LCM of denominators i.e. for 583,960 is 559680.
Thus, GCF of Fractions is 1/559680.Finally, GCF of Fractions for 905/583, 421/960 is 1/559680.