Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/50,246/97,372/89
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 8,246,372
Greatest Common Factor of Numerators i.e. GCF of 8,246,372 is 2 .
LCM of Denominators means LCM of 50,97,89 as per the given fractions.
LCM of 50,97,89 is 431650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,246,372
2 | 8, 246, 372 |
4, 123, 186 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 8,246,372 . The biggest common factor number is the GCF number.
So the greatest common factor 8,246,372 is 2.
Lets's calculate LCM of 50,97,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 431650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/431650
Therefore, the GCF of Fractions 8/50,246/97,372/89 is 2/431650
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 50,97,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,97,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,97,89) x common factors =1 x 1 = 1
LCM(50,97,89) = ( 50 × 97 × 89 ) / 1
LCM(50,97,89) = 431650 / 1
LCM(50,97,89) = 431650
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 8/50, 246/97, 372/89?
Answer: GCF of Numerators as per given numbers 8/50, 246/97, 372/89 is
GCF of Numerators i.e. for 8,246,372 is 2
LCM of denominators i.e. for 50,97,89 is 431650.
Thus, GCF of Fractions is 2/431650.Finally, GCF of Fractions for 8/50, 246/97, 372/89 is 2/431650.