Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/13,853/19,958/696
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 24,853,958
Greatest Common Factor of Numerators i.e. GCF of 24,853,958 is 1 .
LCM of Denominators means LCM of 13,19,696 as per the given fractions.
LCM of 13,19,696 is 171912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,853,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 24,853,958 . The biggest common factor number is the GCF number.
So the greatest common factor 24,853,958 is 1.
Lets's calculate LCM of 13,19,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 171912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171912
Therefore, the GCF of Fractions 24/13,853/19,958/696 is 1/171912
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 13,19,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,19,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,19,696) x common factors =1 x 1 = 1
LCM(13,19,696) = ( 13 × 19 × 696 ) / 1
LCM(13,19,696) = 171912 / 1
LCM(13,19,696) = 171912
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 24/13, 853/19, 958/696?
Answer: GCF of Numerators as per given numbers 24/13, 853/19, 958/696 is
GCF of Numerators i.e. for 24,853,958 is 1
LCM of denominators i.e. for 13,19,696 is 171912.
Thus, GCF of Fractions is 1/171912.Finally, GCF of Fractions for 24/13, 853/19, 958/696 is 1/171912.