Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/48,446/38,574/175
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 925,446,574
Greatest Common Factor of Numerators i.e. GCF of 925,446,574 is 1 .
LCM of Denominators means LCM of 48,38,175 as per the given fractions.
LCM of 48,38,175 is 159600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,446,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 925,446,574 . The biggest common factor number is the GCF number.
So the greatest common factor 925,446,574 is 1.
Lets's calculate LCM of 48,38,175
2 | 48, 38, 175 |
24, 19, 175 |
∴ So the LCM of the given numbers is 2 x 24 x 19 x 175 = 159600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159600
Therefore, the GCF of Fractions 925/48,446/38,574/175 is 1/159600
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 48,38,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,38,175) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(48,38,175) x common factors =1 x 2 = 2
LCM(48,38,175) = ( 48 × 38 × 175 ) / 2
LCM(48,38,175) = 319200 / 2
LCM(48,38,175) = 159600
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 925/48, 446/38, 574/175?
Answer: GCF of Numerators as per given numbers 925/48, 446/38, 574/175 is
GCF of Numerators i.e. for 925,446,574 is 1
LCM of denominators i.e. for 48,38,175 is 159600.
Thus, GCF of Fractions is 1/159600.Finally, GCF of Fractions for 925/48, 446/38, 574/175 is 1/159600.