Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 968/615,880/347,969/393
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 968,880,969
Greatest Common Factor of Numerators i.e. GCF of 968,880,969 is 1 .
LCM of Denominators means LCM of 615,347,393 as per the given fractions.
LCM of 615,347,393 is 27956055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 968,880,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 968,880,969 . The biggest common factor number is the GCF number.
So the greatest common factor 968,880,969 is 1.
Lets's calculate LCM of 615,347,393
3 | 615, 347, 393 |
205, 347, 131 |
∴ So the LCM of the given numbers is 3 x 205 x 347 x 131 = 27956055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27956055
Therefore, the GCF of Fractions 968/615,880/347,969/393 is 1/27956055
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 615,347,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,347,393) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(615,347,393) x common factors =1 x 3 = 3
LCM(615,347,393) = ( 615 × 347 × 393 ) / 3
LCM(615,347,393) = 83868165 / 3
LCM(615,347,393) = 27956055
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 968/615, 880/347, 969/393?
Answer: GCF of Numerators as per given numbers 968/615, 880/347, 969/393 is
GCF of Numerators i.e. for 968,880,969 is 1
LCM of denominators i.e. for 615,347,393 is 27956055.
Thus, GCF of Fractions is 1/27956055.Finally, GCF of Fractions for 968/615, 880/347, 969/393 is 1/27956055.