Use our free GCF of Fractions Calculator tool to compute the GCF of 913/851, 473/835 i.e 11/710585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/851, 473/835.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/851,473/835
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 913/851,473/835, numerators are 913,473
Denominators are 851,835
The GCF of 913,473 is 11 .
LCM of 851,835 is 710585.
The greatest common factor of 913/851,473/835 = [GCF of 913,473]/[LCM of 851,835]= 11/710585
Therefore, the GCF of 913/851,473/835 is 11/710585.
To find the highest common factor of 913,473, 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 473 are 1, 11, 43, 473
The HCF of 913,473 is 11.
Lets's calculate GCF of 913,473
11 | 913, 473 |
83, 43 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 913,473 . The biggest common factor number is the GCF number.
So the greatest common factor 913,473 is 11.
Lets's calculate LCM of 851,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 710585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/710585
Therefore, the GCF of Fractions 913/851,473/835 is 11/710585
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 851,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,835) x common factors =1 x 1 = 1
LCM(851,835) = ( 851 × 835 ) / 1
LCM(851,835) = 710585 / 1
LCM(851,835) = 710585
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 913,473?
The HCF of 913,473 is 11
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 913/851, 473/835?
Answer: GCF of Numerators as per given numbers 913/851, 473/835 is
GCF of Numerators i.e. for 913,473 is 11
LCM of denominators i.e. for 851,835 is 710585.
Thus, GCF of Fractions is 11/710585.Finally, GCF of Fractions for 913/851, 473/835 is 11/710585.