Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 208/95,881/46,626/50
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 208,881,626
Greatest Common Factor of Numerators i.e. GCF of 208,881,626 is 1 .
LCM of Denominators means LCM of 95,46,50 as per the given fractions.
LCM of 95,46,50 is 21850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 208,881,626
∴ So GCF of numbers is 1 because of no common factors present between them.
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 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 208,881,626 . The biggest common factor number is the GCF number.
So the greatest common factor 208,881,626 is 1.
Lets's calculate LCM of 95,46,50
2 | 95, 46, 50 |
5 | 95, 23, 25 |
19, 23, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 23 x 5 = 21850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21850
Therefore, the GCF of Fractions 208/95,881/46,626/50 is 1/21850
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 95,46,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,46,50) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(95,46,50) x common factors =1 x 10 = 10
LCM(95,46,50) = ( 95 × 46 × 50 ) / 10
LCM(95,46,50) = 218500 / 10
LCM(95,46,50) = 21850
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 208/95, 881/46, 626/50?
Answer: GCF of Numerators as per given numbers 208/95, 881/46, 626/50 is
GCF of Numerators i.e. for 208,881,626 is 1
LCM of denominators i.e. for 95,46,50 is 21850.
Thus, GCF of Fractions is 1/21850.Finally, GCF of Fractions for 208/95, 881/46, 626/50 is 1/21850.