Use our free GCF of Fractions Calculator tool to compute the GCF of 9/46, 86/94, 41/248, 777/682 i.e 1/2948968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/46, 86/94, 41/248, 777/682.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/46,86/94,41/248,777/682
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 9/46,86/94,41/248,777/682, numerators are 9,86,41,777
Denominators are 46,94,248,682
The GCF of 9,86,41,777 is 1 .
LCM of 46,94,248,682 is 2948968.
The greatest common factor of 9/46,86/94,41/248,777/682 = [GCF of 9,86,41,777]/[LCM of 46,94,248,682]= 1/2948968
Therefore, the GCF of 9/46,86/94,41/248,777/682 is 1/2948968.
To find the highest common factor of 9,86,41,777, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 86 are 1, 2, 43, 86
The factors of 41 are 1, 41
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The HCF of 9,86,41,777 is 1.
Lets's calculate GCF of 9,86,41,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 41
:1,41
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 9,86,41,777 . The biggest common factor number is the GCF number.
So the greatest common factor 9,86,41,777 is 1.
Lets's calculate LCM of 46,94,248,682
2 | 46, 94, 248, 682 |
31 | 23, 47, 124, 341 |
23, 47, 4, 11 |
∴ So the LCM of the given numbers is 2 x 31 x 23 x 47 x 4 x 11 = 2948968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2948968
Therefore, the GCF of Fractions 9/46,86/94,41/248,777/682 is 1/2948968
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 46,94,248,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,94,248,682) = 2
common factors(in case of two or more numbers have common factors) = 124
GCF(46,94,248,682) x common factors =2 x 124 = 248
LCM(46,94,248,682) = ( 46 × 94 × 248 × 682 ) / 248
LCM(46,94,248,682) = 731344064 / 248
LCM(46,94,248,682) = 2948968
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,86,41,777?
The HCF of 9,86,41,777 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 9/46, 86/94, 41/248, 777/682?
Answer: GCF of Numerators as per given numbers 9/46, 86/94, 41/248, 777/682 is
GCF of Numerators i.e. for 9,86,41,777 is 1
LCM of denominators i.e. for 46,94,248,682 is 2948968.
Thus, GCF of Fractions is 1/2948968.Finally, GCF of Fractions for 9/46, 86/94, 41/248, 777/682 is 1/2948968.