Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/19,352/5345
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 401,352
Greatest Common Factor of Numerators i.e. GCF of 401,352 is 1 .
LCM of Denominators means LCM of 19,5345 as per the given fractions.
LCM of 19,5345 is 101555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 401,352 . The biggest common factor number is the GCF number.
So the greatest common factor 401,352 is 1.
Lets's calculate LCM of 19,5345
Given numbers has no common factors except 1. So, there LCM is their product i.e 101555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101555
Therefore, the GCF of Fractions 401/19,352/5345 is 1/101555
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 19,5345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,5345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,5345) x common factors =1 x 1 = 1
LCM(19,5345) = ( 19 × 5345 ) / 1
LCM(19,5345) = 101555 / 1
LCM(19,5345) = 101555
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 401/19, 352/5345?
Answer: GCF of Numerators as per given numbers 401/19, 352/5345 is
GCF of Numerators i.e. for 401,352 is 1
LCM of denominators i.e. for 19,5345 is 101555.
Thus, GCF of Fractions is 1/101555.Finally, GCF of Fractions for 401/19, 352/5345 is 1/101555.