Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/53,783/45,161/104
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 49,783,161
Greatest Common Factor of Numerators i.e. GCF of 49,783,161 is 1 .
LCM of Denominators means LCM of 53,45,104 as per the given fractions.
LCM of 53,45,104 is 248040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,783,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 49,783,161 . The biggest common factor number is the GCF number.
So the greatest common factor 49,783,161 is 1.
Lets's calculate LCM of 53,45,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 248040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248040
Therefore, the GCF of Fractions 49/53,783/45,161/104 is 1/248040
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 53,45,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,45,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,45,104) x common factors =1 x 1 = 1
LCM(53,45,104) = ( 53 × 45 × 104 ) / 1
LCM(53,45,104) = 248040 / 1
LCM(53,45,104) = 248040
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 49/53, 783/45, 161/104?
Answer: GCF of Numerators as per given numbers 49/53, 783/45, 161/104 is
GCF of Numerators i.e. for 49,783,161 is 1
LCM of denominators i.e. for 53,45,104 is 248040.
Thus, GCF of Fractions is 1/248040.Finally, GCF of Fractions for 49/53, 783/45, 161/104 is 1/248040.