Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/480,123/328
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 975,123
Greatest Common Factor of Numerators i.e. GCF of 975,123 is 3 .
LCM of Denominators means LCM of 480,328 as per the given fractions.
LCM of 480,328 is 19680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,123
3 | 975, 123 |
325, 41 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 975,123 . The biggest common factor number is the GCF number.
So the greatest common factor 975,123 is 3.
Lets's calculate LCM of 480,328
2 | 480, 328 |
2 | 240, 164 |
2 | 120, 82 |
60, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 60 x 41 = 19680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19680
Therefore, the GCF of Fractions 975/480,123/328 is 3/19680
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 480,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,328) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(480,328) x common factors =8 x 1 = 8
LCM(480,328) = ( 480 × 328 ) / 8
LCM(480,328) = 157440 / 8
LCM(480,328) = 19680
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 975/480, 123/328?
Answer: GCF of Numerators as per given numbers 975/480, 123/328 is
GCF of Numerators i.e. for 975,123 is 3
LCM of denominators i.e. for 480,328 is 19680.
Thus, GCF of Fractions is 3/19680.Finally, GCF of Fractions for 975/480, 123/328 is 3/19680.