Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 949/46,336/2471
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 949,336
Greatest Common Factor of Numerators i.e. GCF of 949,336 is 1 .
LCM of Denominators means LCM of 46,2471 as per the given fractions.
LCM of 46,2471 is 113666 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 949,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 949,336 . The biggest common factor number is the GCF number.
So the greatest common factor 949,336 is 1.
Lets's calculate LCM of 46,2471
Given numbers has no common factors except 1. So, there LCM is their product i.e 113666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113666
Therefore, the GCF of Fractions 949/46,336/2471 is 1/113666
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 46,2471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,2471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,2471) x common factors =1 x 1 = 1
LCM(46,2471) = ( 46 × 2471 ) / 1
LCM(46,2471) = 113666 / 1
LCM(46,2471) = 113666
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 949/46, 336/2471?
Answer: GCF of Numerators as per given numbers 949/46, 336/2471 is
GCF of Numerators i.e. for 949,336 is 1
LCM of denominators i.e. for 46,2471 is 113666.
Thus, GCF of Fractions is 1/113666.Finally, GCF of Fractions for 949/46, 336/2471 is 1/113666.