Use our free GCF of Fractions Calculator tool to compute the GCF of 77/949, 25/579, 288/413 i.e 1/226931523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/949, 25/579, 288/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/949,25/579,288/413
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 77/949,25/579,288/413, numerators are 77,25,288
Denominators are 949,579,413
The GCF of 77,25,288 is 1 .
LCM of 949,579,413 is 226931523.
The greatest common factor of 77/949,25/579,288/413 = [GCF of 77,25,288]/[LCM of 949,579,413]= 1/226931523
Therefore, the GCF of 77/949,25/579,288/413 is 1/226931523.
To find the highest common factor of 77,25,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 25 are 1, 5, 25
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 77,25,288 is 1.
Lets's calculate GCF of 77,25,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 77,25,288 . The biggest common factor number is the GCF number.
So the greatest common factor 77,25,288 is 1.
Lets's calculate LCM of 949,579,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 226931523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226931523
Therefore, the GCF of Fractions 77/949,25/579,288/413 is 1/226931523
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 949,579,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,579,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,579,413) x common factors =1 x 1 = 1
LCM(949,579,413) = ( 949 × 579 × 413 ) / 1
LCM(949,579,413) = 226931523 / 1
LCM(949,579,413) = 226931523
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,25,288?
The HCF of 77,25,288 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 77/949, 25/579, 288/413?
Answer: GCF of Numerators as per given numbers 77/949, 25/579, 288/413 is
GCF of Numerators i.e. for 77,25,288 is 1
LCM of denominators i.e. for 949,579,413 is 226931523.
Thus, GCF of Fractions is 1/226931523.Finally, GCF of Fractions for 77/949, 25/579, 288/413 is 1/226931523.