Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/47,799/1149
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 510,799
Greatest Common Factor of Numerators i.e. GCF of 510,799 is 17 .
LCM of Denominators means LCM of 47,1149 as per the given fractions.
LCM of 47,1149 is 54003 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,799
17 | 510, 799 |
30, 47 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 510,799 . The biggest common factor number is the GCF number.
So the greatest common factor 510,799 is 17.
Lets's calculate LCM of 47,1149
Given numbers has no common factors except 1. So, there LCM is their product i.e 54003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/54003
Therefore, the GCF of Fractions 510/47,799/1149 is 17/54003
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 47,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,1149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,1149) x common factors =1 x 1 = 1
LCM(47,1149) = ( 47 × 1149 ) / 1
LCM(47,1149) = 54003 / 1
LCM(47,1149) = 54003
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 510/47, 799/1149?
Answer: GCF of Numerators as per given numbers 510/47, 799/1149 is
GCF of Numerators i.e. for 510,799 is 17
LCM of denominators i.e. for 47,1149 is 54003.
Thus, GCF of Fractions is 17/54003.Finally, GCF of Fractions for 510/47, 799/1149 is 17/54003.