Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/650,4875/7899
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 141,4875
Greatest Common Factor of Numerators i.e. GCF of 141,4875 is 3 .
LCM of Denominators means LCM of 650,7899 as per the given fractions.
LCM of 650,7899 is 5134350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 141,4875
3 | 141, 4875 |
47, 1625 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 4875
List of positive integer factors of 4875 that divides 4875 without a remainder.
1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Greatest Common Factor
We found the factors 141,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 141,4875 is 3.
Lets's calculate LCM of 650,7899
Given numbers has no common factors except 1. So, there LCM is their product i.e 5134350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5134350
Therefore, the GCF of Fractions 141/650,4875/7899 is 3/5134350
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 650,7899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,7899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,7899) x common factors =1 x 1 = 1
LCM(650,7899) = ( 650 × 7899 ) / 1
LCM(650,7899) = 5134350 / 1
LCM(650,7899) = 5134350
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 141/650, 4875/7899?
Answer: GCF of Numerators as per given numbers 141/650, 4875/7899 is
GCF of Numerators i.e. for 141,4875 is 3
LCM of denominators i.e. for 650,7899 is 5134350.
Thus, GCF of Fractions is 3/5134350.Finally, GCF of Fractions for 141/650, 4875/7899 is 3/5134350.