Use our free GCF of Fractions Calculator tool to compute the GCF of 96/952, 364/289, 942/479 i.e 2/7752136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/952, 364/289, 942/479.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/952,364/289,942/479
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 96/952,364/289,942/479, numerators are 96,364,942
Denominators are 952,289,479
The GCF of 96,364,942 is 2 .
LCM of 952,289,479 is 7752136.
The greatest common factor of 96/952,364/289,942/479 = [GCF of 96,364,942]/[LCM of 952,289,479]= 2/7752136
Therefore, the GCF of 96/952,364/289,942/479 is 2/7752136.
To find the highest common factor of 96,364,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 96,364,942 is 2.
Lets's calculate GCF of 96,364,942
2 | 96, 364, 942 |
48, 182, 471 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 96,364,942 . The biggest common factor number is the GCF number.
So the greatest common factor 96,364,942 is 2.
Lets's calculate LCM of 952,289,479
17 | 952, 289, 479 |
56, 17, 479 |
∴ So the LCM of the given numbers is 17 x 56 x 17 x 479 = 7752136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7752136
Therefore, the GCF of Fractions 96/952,364/289,942/479 is 2/7752136
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 952,289,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,289,479) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(952,289,479) x common factors =1 x 17 = 17
LCM(952,289,479) = ( 952 × 289 × 479 ) / 17
LCM(952,289,479) = 131786312 / 17
LCM(952,289,479) = 7752136
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,364,942?
The HCF of 96,364,942 is 2
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 96/952, 364/289, 942/479?
Answer: GCF of Numerators as per given numbers 96/952, 364/289, 942/479 is
GCF of Numerators i.e. for 96,364,942 is 2
LCM of denominators i.e. for 952,289,479 is 7752136.
Thus, GCF of Fractions is 2/7752136.Finally, GCF of Fractions for 96/952, 364/289, 942/479 is 2/7752136.