Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3432/39,4547/944
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 3432,4547
Greatest Common Factor of Numerators i.e. GCF of 3432,4547 is 1 .
LCM of Denominators means LCM of 39,944 as per the given fractions.
LCM of 39,944 is 36816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3432,4547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3432
List of positive integer factors of 3432 that divides 3432 without a remainder.
1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Factors of 4547
List of positive integer factors of 4547 that divides 4547 without a remainder.
1,4547
Greatest Common Factor
We found the factors 3432,4547 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,4547 is 1.
Lets's calculate LCM of 39,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 36816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36816
Therefore, the GCF of Fractions 3432/39,4547/944 is 1/36816
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 39,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,944) x common factors =1 x 1 = 1
LCM(39,944) = ( 39 × 944 ) / 1
LCM(39,944) = 36816 / 1
LCM(39,944) = 36816
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 3432/39, 4547/944?
Answer: GCF of Numerators as per given numbers 3432/39, 4547/944 is
GCF of Numerators i.e. for 3432,4547 is 1
LCM of denominators i.e. for 39,944 is 36816.
Thus, GCF of Fractions is 1/36816.Finally, GCF of Fractions for 3432/39, 4547/944 is 1/36816.