Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/23,38/74,625/172
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 96,38,625
Greatest Common Factor of Numerators i.e. GCF of 96,38,625 is 1 .
LCM of Denominators means LCM of 23,74,172 as per the given fractions.
LCM of 23,74,172 is 146372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,38,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 96,38,625 . The biggest common factor number is the GCF number.
So the greatest common factor 96,38,625 is 1.
Lets's calculate LCM of 23,74,172
2 | 23, 74, 172 |
23, 37, 86 |
∴ So the LCM of the given numbers is 2 x 23 x 37 x 86 = 146372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146372
Therefore, the GCF of Fractions 96/23,38/74,625/172 is 1/146372
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 23,74,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,74,172) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,74,172) x common factors =1 x 2 = 2
LCM(23,74,172) = ( 23 × 74 × 172 ) / 2
LCM(23,74,172) = 292744 / 2
LCM(23,74,172) = 146372
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 96/23, 38/74, 625/172?
Answer: GCF of Numerators as per given numbers 96/23, 38/74, 625/172 is
GCF of Numerators i.e. for 96,38,625 is 1
LCM of denominators i.e. for 23,74,172 is 146372.
Thus, GCF of Fractions is 1/146372.Finally, GCF of Fractions for 96/23, 38/74, 625/172 is 1/146372.