Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8886/80,6658/210
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 8886,6658
Greatest Common Factor of Numerators i.e. GCF of 8886,6658 is 2 .
LCM of Denominators means LCM of 80,210 as per the given fractions.
LCM of 80,210 is 1680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8886,6658
2 | 8886, 6658 |
4443, 3329 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8886
List of positive integer factors of 8886 that divides 8886 without a remainder.
1,2,3,6,1481,2962,4443,8886
Factors of 6658
List of positive integer factors of 6658 that divides 6658 without a remainder.
1,2,3329,6658
Greatest Common Factor
We found the factors 8886,6658 . The biggest common factor number is the GCF number.
So the greatest common factor 8886,6658 is 2.
Lets's calculate LCM of 80,210
2 | 80, 210 |
5 | 40, 105 |
8, 21 |
∴ So the LCM of the given numbers is 2 x 5 x 8 x 21 = 1680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1680
Therefore, the GCF of Fractions 8886/80,6658/210 is 2/1680
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 80,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,210) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(80,210) x common factors =10 x 1 = 10
LCM(80,210) = ( 80 × 210 ) / 10
LCM(80,210) = 16800 / 10
LCM(80,210) = 1680
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 8886/80, 6658/210?
Answer: GCF of Numerators as per given numbers 8886/80, 6658/210 is
GCF of Numerators i.e. for 8886,6658 is 2
LCM of denominators i.e. for 80,210 is 1680.
Thus, GCF of Fractions is 2/1680.Finally, GCF of Fractions for 8886/80, 6658/210 is 2/1680.