Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 421/104,135/313
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 421,135
Greatest Common Factor of Numerators i.e. GCF of 421,135 is 1 .
LCM of Denominators means LCM of 104,313 as per the given fractions.
LCM of 104,313 is 32552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 421,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 421,135 . The biggest common factor number is the GCF number.
So the greatest common factor 421,135 is 1.
Lets's calculate LCM of 104,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 32552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32552
Therefore, the GCF of Fractions 421/104,135/313 is 1/32552
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 104,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,313) x common factors =1 x 1 = 1
LCM(104,313) = ( 104 × 313 ) / 1
LCM(104,313) = 32552 / 1
LCM(104,313) = 32552
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 421/104, 135/313?
Answer: GCF of Numerators as per given numbers 421/104, 135/313 is
GCF of Numerators i.e. for 421,135 is 1
LCM of denominators i.e. for 104,313 is 32552.
Thus, GCF of Fractions is 1/32552.Finally, GCF of Fractions for 421/104, 135/313 is 1/32552.