Use our free GCF of Fractions Calculator tool to compute the GCF of 905/510, 865/841 i.e 5/428910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/510, 865/841.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 905/510,865/841
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 905/510,865/841, numerators are 905,865
Denominators are 510,841
The GCF of 905,865 is 5 .
LCM of 510,841 is 428910.
The greatest common factor of 905/510,865/841 = [GCF of 905,865]/[LCM of 510,841]= 5/428910
Therefore, the GCF of 905/510,865/841 is 5/428910.
To find the highest common factor of 905,865, 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 865 are 1, 5, 173, 865
The HCF of 905,865 is 5.
Lets's calculate GCF of 905,865
5 | 905, 865 |
181, 173 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 905,865 . The biggest common factor number is the GCF number.
So the greatest common factor 905,865 is 5.
Lets's calculate LCM of 510,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 428910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/428910
Therefore, the GCF of Fractions 905/510,865/841 is 5/428910
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 510,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(510,841) x common factors =1 x 1 = 1
LCM(510,841) = ( 510 × 841 ) / 1
LCM(510,841) = 428910 / 1
LCM(510,841) = 428910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 905,865?
The HCF of 905,865 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 905/510, 865/841?
Answer: GCF of Numerators as per given numbers 905/510, 865/841 is
GCF of Numerators i.e. for 905,865 is 5
LCM of denominators i.e. for 510,841 is 428910.
Thus, GCF of Fractions is 5/428910.Finally, GCF of Fractions for 905/510, 865/841 is 5/428910.