Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/49,342/5384
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 505,342
Greatest Common Factor of Numerators i.e. GCF of 505,342 is 1 .
LCM of Denominators means LCM of 49,5384 as per the given fractions.
LCM of 49,5384 is 263816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 505,342 . The biggest common factor number is the GCF number.
So the greatest common factor 505,342 is 1.
Lets's calculate LCM of 49,5384
Given numbers has no common factors except 1. So, there LCM is their product i.e 263816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263816
Therefore, the GCF of Fractions 505/49,342/5384 is 1/263816
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 49,5384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,5384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,5384) x common factors =1 x 1 = 1
LCM(49,5384) = ( 49 × 5384 ) / 1
LCM(49,5384) = 263816 / 1
LCM(49,5384) = 263816
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 505/49, 342/5384?
Answer: GCF of Numerators as per given numbers 505/49, 342/5384 is
GCF of Numerators i.e. for 505,342 is 1
LCM of denominators i.e. for 49,5384 is 263816.
Thus, GCF of Fractions is 1/263816.Finally, GCF of Fractions for 505/49, 342/5384 is 1/263816.