Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/316,1152/7568
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 75,1152
Greatest Common Factor of Numerators i.e. GCF of 75,1152 is 3 .
LCM of Denominators means LCM of 316,7568 as per the given fractions.
LCM of 316,7568 is 597872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,1152
3 | 75, 1152 |
25, 384 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 1152
List of positive integer factors of 1152 that divides 1152 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 75,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 75,1152 is 3.
Lets's calculate LCM of 316,7568
2 | 316, 7568 |
2 | 158, 3784 |
79, 1892 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1892 = 597872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/597872
Therefore, the GCF of Fractions 75/316,1152/7568 is 3/597872
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 316,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,7568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,7568) x common factors =4 x 1 = 4
LCM(316,7568) = ( 316 × 7568 ) / 4
LCM(316,7568) = 2391488 / 4
LCM(316,7568) = 597872
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 75/316, 1152/7568?
Answer: GCF of Numerators as per given numbers 75/316, 1152/7568 is
GCF of Numerators i.e. for 75,1152 is 3
LCM of denominators i.e. for 316,7568 is 597872.
Thus, GCF of Fractions is 3/597872.Finally, GCF of Fractions for 75/316, 1152/7568 is 3/597872.