Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/4489,250/5641
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 135,250
Greatest Common Factor of Numerators i.e. GCF of 135,250 is 5 .
LCM of Denominators means LCM of 4489,5641 as per the given fractions.
LCM of 4489,5641 is 25322449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,250
5 | 135, 250 |
27, 50 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 135,250 . The biggest common factor number is the GCF number.
So the greatest common factor 135,250 is 5.
Lets's calculate LCM of 4489,5641
Given numbers has no common factors except 1. So, there LCM is their product i.e 25322449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25322449
Therefore, the GCF of Fractions 135/4489,250/5641 is 5/25322449
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 4489,5641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4489,5641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4489,5641) x common factors =1 x 1 = 1
LCM(4489,5641) = ( 4489 × 5641 ) / 1
LCM(4489,5641) = 25322449 / 1
LCM(4489,5641) = 25322449
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 135/4489, 250/5641?
Answer: GCF of Numerators as per given numbers 135/4489, 250/5641 is
GCF of Numerators i.e. for 135,250 is 5
LCM of denominators i.e. for 4489,5641 is 25322449.
Thus, GCF of Fractions is 5/25322449.Finally, GCF of Fractions for 135/4489, 250/5641 is 5/25322449.