Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/41,62/47,951/12
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 54,62,951
Greatest Common Factor of Numerators i.e. GCF of 54,62,951 is 1 .
LCM of Denominators means LCM of 41,47,12 as per the given fractions.
LCM of 41,47,12 is 23124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,62,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 54,62,951 . The biggest common factor number is the GCF number.
So the greatest common factor 54,62,951 is 1.
Lets's calculate LCM of 41,47,12
Given numbers has no common factors except 1. So, there LCM is their product i.e 23124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23124
Therefore, the GCF of Fractions 54/41,62/47,951/12 is 1/23124
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 41,47,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,47,12) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,47,12) x common factors =1 x 1 = 1
LCM(41,47,12) = ( 41 × 47 × 12 ) / 1
LCM(41,47,12) = 23124 / 1
LCM(41,47,12) = 23124
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 54/41, 62/47, 951/12?
Answer: GCF of Numerators as per given numbers 54/41, 62/47, 951/12 is
GCF of Numerators i.e. for 54,62,951 is 1
LCM of denominators i.e. for 41,47,12 is 23124.
Thus, GCF of Fractions is 1/23124.Finally, GCF of Fractions for 54/41, 62/47, 951/12 is 1/23124.