Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 208/13,210/9630
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 208,210
Greatest Common Factor of Numerators i.e. GCF of 208,210 is 2 .
LCM of Denominators means LCM of 13,9630 as per the given fractions.
LCM of 13,9630 is 125190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 208,210
2 | 208, 210 |
104, 105 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 208,210 . The biggest common factor number is the GCF number.
So the greatest common factor 208,210 is 2.
Lets's calculate LCM of 13,9630
Given numbers has no common factors except 1. So, there LCM is their product i.e 125190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125190
Therefore, the GCF of Fractions 208/13,210/9630 is 2/125190
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 13,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,9630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,9630) x common factors =1 x 1 = 1
LCM(13,9630) = ( 13 × 9630 ) / 1
LCM(13,9630) = 125190 / 1
LCM(13,9630) = 125190
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 208/13, 210/9630?
Answer: GCF of Numerators as per given numbers 208/13, 210/9630 is
GCF of Numerators i.e. for 208,210 is 2
LCM of denominators i.e. for 13,9630 is 125190.
Thus, GCF of Fractions is 2/125190.Finally, GCF of Fractions for 208/13, 210/9630 is 2/125190.