Use our free GCF of Fractions Calculator tool to compute the GCF of 96/454, 2376/5970 i.e 24/1355190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/454, 2376/5970.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/454,2376/5970
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 96/454,2376/5970, numerators are 96,2376
Denominators are 454,5970
The GCF of 96,2376 is 24 .
LCM of 454,5970 is 1355190.
The greatest common factor of 96/454,2376/5970 = [GCF of 96,2376]/[LCM of 454,5970]= 24/1355190
Therefore, the GCF of 96/454,2376/5970 is 24/1355190.
To find the highest common factor of 96,2376, 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 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The HCF of 96,2376 is 24.
Lets's calculate GCF of 96,2376
2 | 96, 2376 |
2 | 48, 1188 |
2 | 24, 594 |
3 | 12, 297 |
4, 99 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
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 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Greatest Common Factor
We found the factors 96,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2376 is 24.
Lets's calculate LCM of 454,5970
2 | 454, 5970 |
227, 2985 |
∴ So the LCM of the given numbers is 2 x 227 x 2985 = 1355190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1355190
Therefore, the GCF of Fractions 96/454,2376/5970 is 24/1355190
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 454,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,5970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,5970) x common factors =2 x 1 = 2
LCM(454,5970) = ( 454 × 5970 ) / 2
LCM(454,5970) = 2710380 / 2
LCM(454,5970) = 1355190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,2376?
The HCF of 96,2376 is 24
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 96/454, 2376/5970?
Answer: GCF of Numerators as per given numbers 96/454, 2376/5970 is
GCF of Numerators i.e. for 96,2376 is 24
LCM of denominators i.e. for 454,5970 is 1355190.
Thus, GCF of Fractions is 24/1355190.Finally, GCF of Fractions for 96/454, 2376/5970 is 24/1355190.