Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 500/56,116/3703
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 500,116
Greatest Common Factor of Numerators i.e. GCF of 500,116 is 4 .
LCM of Denominators means LCM of 56,3703 as per the given fractions.
LCM of 56,3703 is 29624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 500,116
2 | 500, 116 |
2 | 250, 58 |
125, 29 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 500,116 . The biggest common factor number is the GCF number.
So the greatest common factor 500,116 is 4.
Lets's calculate LCM of 56,3703
7 | 56, 3703 |
8, 529 |
∴ So the LCM of the given numbers is 7 x 8 x 529 = 29624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29624
Therefore, the GCF of Fractions 500/56,116/3703 is 4/29624
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 56,3703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,3703) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(56,3703) x common factors =7 x 1 = 7
LCM(56,3703) = ( 56 × 3703 ) / 7
LCM(56,3703) = 207368 / 7
LCM(56,3703) = 29624
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 500/56, 116/3703?
Answer: GCF of Numerators as per given numbers 500/56, 116/3703 is
GCF of Numerators i.e. for 500,116 is 4
LCM of denominators i.e. for 56,3703 is 29624.
Thus, GCF of Fractions is 4/29624.Finally, GCF of Fractions for 500/56, 116/3703 is 4/29624.