Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1950/11,9958/505
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 1950,9958
Greatest Common Factor of Numerators i.e. GCF of 1950,9958 is 26 .
LCM of Denominators means LCM of 11,505 as per the given fractions.
LCM of 11,505 is 5555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1950,9958
2 | 1950, 9958 |
13 | 975, 4979 |
75, 383 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 1950
List of positive integer factors of 1950 that divides 1950 without a remainder.
1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Factors of 9958
List of positive integer factors of 9958 that divides 9958 without a remainder.
1,2,13,26,383,766,4979,9958
Greatest Common Factor
We found the factors 1950,9958 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,9958 is 26.
Lets's calculate LCM of 11,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 5555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/5555
Therefore, the GCF of Fractions 1950/11,9958/505 is 26/5555
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 11,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,505) x common factors =1 x 1 = 1
LCM(11,505) = ( 11 × 505 ) / 1
LCM(11,505) = 5555 / 1
LCM(11,505) = 5555
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 1950/11, 9958/505?
Answer: GCF of Numerators as per given numbers 1950/11, 9958/505 is
GCF of Numerators i.e. for 1950,9958 is 26
LCM of denominators i.e. for 11,505 is 5555.
Thus, GCF of Fractions is 26/5555.Finally, GCF of Fractions for 1950/11, 9958/505 is 26/5555.