Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/41,95/53,906/911
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 32,95,906
Greatest Common Factor of Numerators i.e. GCF of 32,95,906 is 1 .
LCM of Denominators means LCM of 41,53,911 as per the given fractions.
LCM of 41,53,911 is 1979603 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,95,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 32,95,906 . The biggest common factor number is the GCF number.
So the greatest common factor 32,95,906 is 1.
Lets's calculate LCM of 41,53,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 1979603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1979603
Therefore, the GCF of Fractions 32/41,95/53,906/911 is 1/1979603
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 41,53,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,53,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,53,911) x common factors =1 x 1 = 1
LCM(41,53,911) = ( 41 × 53 × 911 ) / 1
LCM(41,53,911) = 1979603 / 1
LCM(41,53,911) = 1979603
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 32/41, 95/53, 906/911?
Answer: GCF of Numerators as per given numbers 32/41, 95/53, 906/911 is
GCF of Numerators i.e. for 32,95,906 is 1
LCM of denominators i.e. for 41,53,911 is 1979603.
Thus, GCF of Fractions is 1/1979603.Finally, GCF of Fractions for 32/41, 95/53, 906/911 is 1/1979603.