Use our free GCF of Fractions Calculator tool to compute the GCF of 913/532, 910/905 i.e 1/481460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/532, 910/905.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/532,910/905
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 913/532,910/905, numerators are 913,910
Denominators are 532,905
The GCF of 913,910 is 1 .
LCM of 532,905 is 481460.
The greatest common factor of 913/532,910/905 = [GCF of 913,910]/[LCM of 532,905]= 1/481460
Therefore, the GCF of 913/532,910/905 is 1/481460.
To find the highest common factor of 913,910, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The HCF of 913,910 is 1.
Lets's calculate GCF of 913,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 913,910 . The biggest common factor number is the GCF number.
So the greatest common factor 913,910 is 1.
Lets's calculate LCM of 532,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 481460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481460
Therefore, the GCF of Fractions 913/532,910/905 is 1/481460
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 532,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,905) x common factors =1 x 1 = 1
LCM(532,905) = ( 532 × 905 ) / 1
LCM(532,905) = 481460 / 1
LCM(532,905) = 481460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 913,910?
The HCF of 913,910 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 913/532, 910/905?
Answer: GCF of Numerators as per given numbers 913/532, 910/905 is
GCF of Numerators i.e. for 913,910 is 1
LCM of denominators i.e. for 532,905 is 481460.
Thus, GCF of Fractions is 1/481460.Finally, GCF of Fractions for 913/532, 910/905 is 1/481460.