Use our free GCF of Fractions Calculator tool to compute the GCF of 886/101, 753/461 i.e 1/46561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/101, 753/461.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/101,753/461
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 886/101,753/461, numerators are 886,753
Denominators are 101,461
The GCF of 886,753 is 1 .
LCM of 101,461 is 46561.
The greatest common factor of 886/101,753/461 = [GCF of 886,753]/[LCM of 101,461]= 1/46561
Therefore, the GCF of 886/101,753/461 is 1/46561.
To find the highest common factor of 886,753, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 753 are 1, 3, 251, 753
The HCF of 886,753 is 1.
Lets's calculate GCF of 886,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 753
:1,3,251,753
Greatest Common Factor
We found the factors 886,753 . The biggest common factor number is the GCF number.
So the greatest common factor 886,753 is 1.
Lets's calculate LCM of 101,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 46561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46561
Therefore, the GCF of Fractions 886/101,753/461 is 1/46561
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 101,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,461) x common factors =1 x 1 = 1
LCM(101,461) = ( 101 × 461 ) / 1
LCM(101,461) = 46561 / 1
LCM(101,461) = 46561
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,753?
The HCF of 886,753 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 886/101, 753/461?
Answer: GCF of Numerators as per given numbers 886/101, 753/461 is
GCF of Numerators i.e. for 886,753 is 1
LCM of denominators i.e. for 101,461 is 46561.
Thus, GCF of Fractions is 1/46561.Finally, GCF of Fractions for 886/101, 753/461 is 1/46561.