Use our free GCF of Fractions Calculator tool to compute the GCF of 581/178, 968/815 i.e 1/145070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/178, 968/815.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 581/178,968/815
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 581/178,968/815, numerators are 581,968
Denominators are 178,815
The GCF of 581,968 is 1 .
LCM of 178,815 is 145070.
The greatest common factor of 581/178,968/815 = [GCF of 581,968]/[LCM of 178,815]= 1/145070
Therefore, the GCF of 581/178,968/815 is 1/145070.
To find the highest common factor of 581,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 581,968 is 1.
Lets's calculate GCF of 581,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 581,968 . The biggest common factor number is the GCF number.
So the greatest common factor 581,968 is 1.
Lets's calculate LCM of 178,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 145070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145070
Therefore, the GCF of Fractions 581/178,968/815 is 1/145070
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 178,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,815) x common factors =1 x 1 = 1
LCM(178,815) = ( 178 × 815 ) / 1
LCM(178,815) = 145070 / 1
LCM(178,815) = 145070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 581,968?
The HCF of 581,968 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 581/178, 968/815?
Answer: GCF of Numerators as per given numbers 581/178, 968/815 is
GCF of Numerators i.e. for 581,968 is 1
LCM of denominators i.e. for 178,815 is 145070.
Thus, GCF of Fractions is 1/145070.Finally, GCF of Fractions for 581/178, 968/815 is 1/145070.