Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6247/135,3506/5254
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 6247,3506
Greatest Common Factor of Numerators i.e. GCF of 6247,3506 is 1 .
LCM of Denominators means LCM of 135,5254 as per the given fractions.
LCM of 135,5254 is 709290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6247,3506
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6247
List of positive integer factors of 6247 that divides 6247 without a remainder.
1,6247
Factors of 3506
List of positive integer factors of 3506 that divides 3506 without a remainder.
1,2,1753,3506
Greatest Common Factor
We found the factors 6247,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 6247,3506 is 1.
Lets's calculate LCM of 135,5254
Given numbers has no common factors except 1. So, there LCM is their product i.e 709290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709290
Therefore, the GCF of Fractions 6247/135,3506/5254 is 1/709290
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 135,5254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,5254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,5254) x common factors =1 x 1 = 1
LCM(135,5254) = ( 135 × 5254 ) / 1
LCM(135,5254) = 709290 / 1
LCM(135,5254) = 709290
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 6247/135, 3506/5254?
Answer: GCF of Numerators as per given numbers 6247/135, 3506/5254 is
GCF of Numerators i.e. for 6247,3506 is 1
LCM of denominators i.e. for 135,5254 is 709290.
Thus, GCF of Fractions is 1/709290.Finally, GCF of Fractions for 6247/135, 3506/5254 is 1/709290.