Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7093/43,9085/250
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 7093,9085
Greatest Common Factor of Numerators i.e. GCF of 7093,9085 is 1 .
LCM of Denominators means LCM of 43,250 as per the given fractions.
LCM of 43,250 is 10750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7093,9085
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7093
List of positive integer factors of 7093 that divides 7093 without a remainder.
1,41,173,7093
Factors of 9085
List of positive integer factors of 9085 that divides 9085 without a remainder.
1,5,23,79,115,395,1817,9085
Greatest Common Factor
We found the factors 7093,9085 . The biggest common factor number is the GCF number.
So the greatest common factor 7093,9085 is 1.
Lets's calculate LCM of 43,250
Given numbers has no common factors except 1. So, there LCM is their product i.e 10750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10750
Therefore, the GCF of Fractions 7093/43,9085/250 is 1/10750
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 43,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,250) x common factors =1 x 1 = 1
LCM(43,250) = ( 43 × 250 ) / 1
LCM(43,250) = 10750 / 1
LCM(43,250) = 10750
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 7093/43, 9085/250?
Answer: GCF of Numerators as per given numbers 7093/43, 9085/250 is
GCF of Numerators i.e. for 7093,9085 is 1
LCM of denominators i.e. for 43,250 is 10750.
Thus, GCF of Fractions is 1/10750.Finally, GCF of Fractions for 7093/43, 9085/250 is 1/10750.