Use our free GCF of Fractions Calculator tool to compute the GCF of 860/170, 723/916 i.e 1/77860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/170, 723/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/170,723/916
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 860/170,723/916, numerators are 860,723
Denominators are 170,916
The GCF of 860,723 is 1 .
LCM of 170,916 is 77860.
The greatest common factor of 860/170,723/916 = [GCF of 860,723]/[LCM of 170,916]= 1/77860
Therefore, the GCF of 860/170,723/916 is 1/77860.
To find the highest common factor of 860,723, 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 723 are 1, 3, 241, 723
The HCF of 860,723 is 1.
Lets's calculate GCF of 860,723
∴ So GCF of numbers is 1 because of no common factors present between them.
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 723
:1,3,241,723
Greatest Common Factor
We found the factors 860,723 . The biggest common factor number is the GCF number.
So the greatest common factor 860,723 is 1.
Lets's calculate LCM of 170,916
2 | 170, 916 |
85, 458 |
∴ So the LCM of the given numbers is 2 x 85 x 458 = 77860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77860
Therefore, the GCF of Fractions 860/170,723/916 is 1/77860
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 170,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,916) x common factors =2 x 1 = 2
LCM(170,916) = ( 170 × 916 ) / 2
LCM(170,916) = 155720 / 2
LCM(170,916) = 77860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 860,723?
The HCF of 860,723 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 860/170, 723/916?
Answer: GCF of Numerators as per given numbers 860/170, 723/916 is
GCF of Numerators i.e. for 860,723 is 1
LCM of denominators i.e. for 170,916 is 77860.
Thus, GCF of Fractions is 1/77860.Finally, GCF of Fractions for 860/170, 723/916 is 1/77860.