Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/381,1950/6912
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 575,1950
Greatest Common Factor of Numerators i.e. GCF of 575,1950 is 25 .
LCM of Denominators means LCM of 381,6912 as per the given fractions.
LCM of 381,6912 is 877824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 575,1950
5 | 575, 1950 |
5 | 115, 390 |
23, 78 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Factors of 1950
List of positive integer factors of 1950 that divides 1950 without a remainder.
1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Greatest Common Factor
We found the factors 575,1950 . The biggest common factor number is the GCF number.
So the greatest common factor 575,1950 is 25.
Lets's calculate LCM of 381,6912
3 | 381, 6912 |
127, 2304 |
∴ So the LCM of the given numbers is 3 x 127 x 2304 = 877824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/877824
Therefore, the GCF of Fractions 575/381,1950/6912 is 25/877824
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 381,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,6912) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,6912) x common factors =3 x 1 = 3
LCM(381,6912) = ( 381 × 6912 ) / 3
LCM(381,6912) = 2633472 / 3
LCM(381,6912) = 877824
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 575/381, 1950/6912?
Answer: GCF of Numerators as per given numbers 575/381, 1950/6912 is
GCF of Numerators i.e. for 575,1950 is 25
LCM of denominators i.e. for 381,6912 is 877824.
Thus, GCF of Fractions is 25/877824.Finally, GCF of Fractions for 575/381, 1950/6912 is 25/877824.