Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 293/85,3547/509
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 293,3547
Greatest Common Factor of Numerators i.e. GCF of 293,3547 is 1 .
LCM of Denominators means LCM of 85,509 as per the given fractions.
LCM of 85,509 is 43265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 293,3547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 3547
List of positive integer factors of 3547 that divides 3547 without a remainder.
1,3547
Greatest Common Factor
We found the factors 293,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 293,3547 is 1.
Lets's calculate LCM of 85,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 43265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43265
Therefore, the GCF of Fractions 293/85,3547/509 is 1/43265
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 85,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,509) x common factors =1 x 1 = 1
LCM(85,509) = ( 85 × 509 ) / 1
LCM(85,509) = 43265 / 1
LCM(85,509) = 43265
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 293/85, 3547/509?
Answer: GCF of Numerators as per given numbers 293/85, 3547/509 is
GCF of Numerators i.e. for 293,3547 is 1
LCM of denominators i.e. for 85,509 is 43265.
Thus, GCF of Fractions is 1/43265.Finally, GCF of Fractions for 293/85, 3547/509 is 1/43265.