Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4696/50,7059/246
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 4696,7059
Greatest Common Factor of Numerators i.e. GCF of 4696,7059 is 1 .
LCM of Denominators means LCM of 50,246 as per the given fractions.
LCM of 50,246 is 6150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4696,7059
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4696
List of positive integer factors of 4696 that divides 4696 without a remainder.
1,2,4,8,587,1174,2348,4696
Factors of 7059
List of positive integer factors of 7059 that divides 7059 without a remainder.
1,3,13,39,181,543,2353,7059
Greatest Common Factor
We found the factors 4696,7059 . The biggest common factor number is the GCF number.
So the greatest common factor 4696,7059 is 1.
Lets's calculate LCM of 50,246
2 | 50, 246 |
25, 123 |
∴ So the LCM of the given numbers is 2 x 25 x 123 = 6150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6150
Therefore, the GCF of Fractions 4696/50,7059/246 is 1/6150
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 50,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,246) x common factors =2 x 1 = 2
LCM(50,246) = ( 50 × 246 ) / 2
LCM(50,246) = 12300 / 2
LCM(50,246) = 6150
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 4696/50, 7059/246?
Answer: GCF of Numerators as per given numbers 4696/50, 7059/246 is
GCF of Numerators i.e. for 4696,7059 is 1
LCM of denominators i.e. for 50,246 is 6150.
Thus, GCF of Fractions is 1/6150.Finally, GCF of Fractions for 4696/50, 7059/246 is 1/6150.