Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/73,33/97,57/60,42/313
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 86,33,57,42
Greatest Common Factor of Numerators i.e. GCF of 86,33,57,42 is 1 .
LCM of Denominators means LCM of 73,97,60,313 as per the given fractions.
LCM of 73,97,60,313 is 132981180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,33,57,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 86,33,57,42 . The biggest common factor number is the GCF number.
So the greatest common factor 86,33,57,42 is 1.
Lets's calculate LCM of 73,97,60,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 132981180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132981180
Therefore, the GCF of Fractions 86/73,33/97,57/60,42/313 is 1/132981180
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 73,97,60,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,97,60,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,97,60,313) x common factors =1 x 1 = 1
LCM(73,97,60,313) = ( 73 × 97 × 60 × 313 ) / 1
LCM(73,97,60,313) = 132981180 / 1
LCM(73,97,60,313) = 132981180
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 86/73, 33/97, 57/60, 42/313?
Answer: GCF of Numerators as per given numbers 86/73, 33/97, 57/60, 42/313 is
GCF of Numerators i.e. for 86,33,57,42 is 1
LCM of denominators i.e. for 73,97,60,313 is 132981180.
Thus, GCF of Fractions is 1/132981180.Finally, GCF of Fractions for 86/73, 33/97, 57/60, 42/313 is 1/132981180.