Use our free GCF of Fractions Calculator tool to compute the GCF of 860/981, 815/437 i.e 5/428697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/981, 815/437.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/981,815/437
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 860/981,815/437, numerators are 860,815
Denominators are 981,437
The GCF of 860,815 is 5 .
LCM of 981,437 is 428697.
The greatest common factor of 860/981,815/437 = [GCF of 860,815]/[LCM of 981,437]= 5/428697
Therefore, the GCF of 860/981,815/437 is 5/428697.
To find the highest common factor of 860,815, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 815 are 1, 5, 163, 815
The HCF of 860,815 is 5.
Lets's calculate GCF of 860,815
5 | 860, 815 |
172, 163 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 815
:1,5,163,815
Greatest Common Factor
We found the factors 860,815 . The biggest common factor number is the GCF number.
So the greatest common factor 860,815 is 5.
Lets's calculate LCM of 981,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 428697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/428697
Therefore, the GCF of Fractions 860/981,815/437 is 5/428697
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 981,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,437) x common factors =1 x 1 = 1
LCM(981,437) = ( 981 × 437 ) / 1
LCM(981,437) = 428697 / 1
LCM(981,437) = 428697
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 860,815?
The HCF of 860,815 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 860/981, 815/437?
Answer: GCF of Numerators as per given numbers 860/981, 815/437 is
GCF of Numerators i.e. for 860,815 is 5
LCM of denominators i.e. for 981,437 is 428697.
Thus, GCF of Fractions is 5/428697.Finally, GCF of Fractions for 860/981, 815/437 is 5/428697.