Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/83,240/50,268/757
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 11,240,268
Greatest Common Factor of Numerators i.e. GCF of 11,240,268 is 1 .
LCM of Denominators means LCM of 83,50,757 as per the given fractions.
LCM of 83,50,757 is 3141550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,240,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 11,240,268 . The biggest common factor number is the GCF number.
So the greatest common factor 11,240,268 is 1.
Lets's calculate LCM of 83,50,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 3141550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3141550
Therefore, the GCF of Fractions 11/83,240/50,268/757 is 1/3141550
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 83,50,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,50,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,50,757) x common factors =1 x 1 = 1
LCM(83,50,757) = ( 83 × 50 × 757 ) / 1
LCM(83,50,757) = 3141550 / 1
LCM(83,50,757) = 3141550
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 11/83, 240/50, 268/757?
Answer: GCF of Numerators as per given numbers 11/83, 240/50, 268/757 is
GCF of Numerators i.e. for 11,240,268 is 1
LCM of denominators i.e. for 83,50,757 is 3141550.
Thus, GCF of Fractions is 1/3141550.Finally, GCF of Fractions for 11/83, 240/50, 268/757 is 1/3141550.