Use our free GCF of Fractions Calculator tool to compute the GCF of 86/174, 915/416, 729/719 i.e 1/26022048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/174, 915/416, 729/719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/174,915/416,729/719
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 86/174,915/416,729/719, numerators are 86,915,729
Denominators are 174,416,719
The GCF of 86,915,729 is 1 .
LCM of 174,416,719 is 26022048.
The greatest common factor of 86/174,915/416,729/719 = [GCF of 86,915,729]/[LCM of 174,416,719]= 1/26022048
Therefore, the GCF of 86/174,915/416,729/719 is 1/26022048.
To find the highest common factor of 86,915,729, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The HCF of 86,915,729 is 1.
Lets's calculate GCF of 86,915,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 729
:1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 86,915,729 . The biggest common factor number is the GCF number.
So the greatest common factor 86,915,729 is 1.
Lets's calculate LCM of 174,416,719
2 | 174, 416, 719 |
87, 208, 719 |
∴ So the LCM of the given numbers is 2 x 87 x 208 x 719 = 26022048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26022048
Therefore, the GCF of Fractions 86/174,915/416,729/719 is 1/26022048
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 174,416,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,416,719) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(174,416,719) x common factors =1 x 2 = 2
LCM(174,416,719) = ( 174 × 416 × 719 ) / 2
LCM(174,416,719) = 52044096 / 2
LCM(174,416,719) = 26022048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,915,729?
The HCF of 86,915,729 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 86/174, 915/416, 729/719?
Answer: GCF of Numerators as per given numbers 86/174, 915/416, 729/719 is
GCF of Numerators i.e. for 86,915,729 is 1
LCM of denominators i.e. for 174,416,719 is 26022048.
Thus, GCF of Fractions is 1/26022048.Finally, GCF of Fractions for 86/174, 915/416, 729/719 is 1/26022048.