Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/89,356/73,105/153
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 92,356,105
Greatest Common Factor of Numerators i.e. GCF of 92,356,105 is 1 .
LCM of Denominators means LCM of 89,73,153 as per the given fractions.
LCM of 89,73,153 is 994041 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,356,105
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 92,356,105 . The biggest common factor number is the GCF number.
So the greatest common factor 92,356,105 is 1.
Lets's calculate LCM of 89,73,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 994041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/994041
Therefore, the GCF of Fractions 92/89,356/73,105/153 is 1/994041
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 89,73,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,73,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,73,153) x common factors =1 x 1 = 1
LCM(89,73,153) = ( 89 × 73 × 153 ) / 1
LCM(89,73,153) = 994041 / 1
LCM(89,73,153) = 994041
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 92/89, 356/73, 105/153?
Answer: GCF of Numerators as per given numbers 92/89, 356/73, 105/153 is
GCF of Numerators i.e. for 92,356,105 is 1
LCM of denominators i.e. for 89,73,153 is 994041.
Thus, GCF of Fractions is 1/994041.Finally, GCF of Fractions for 92/89, 356/73, 105/153 is 1/994041.