Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9457/37,1186/800
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 9457,1186
Greatest Common Factor of Numerators i.e. GCF of 9457,1186 is 1 .
LCM of Denominators means LCM of 37,800 as per the given fractions.
LCM of 37,800 is 29600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9457,1186
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9457
List of positive integer factors of 9457 that divides 9457 without a remainder.
1,7,49,193,1351,9457
Factors of 1186
List of positive integer factors of 1186 that divides 1186 without a remainder.
1,2,593,1186
Greatest Common Factor
We found the factors 9457,1186 . The biggest common factor number is the GCF number.
So the greatest common factor 9457,1186 is 1.
Lets's calculate LCM of 37,800
Given numbers has no common factors except 1. So, there LCM is their product i.e 29600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29600
Therefore, the GCF of Fractions 9457/37,1186/800 is 1/29600
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 37,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,800) x common factors =1 x 1 = 1
LCM(37,800) = ( 37 × 800 ) / 1
LCM(37,800) = 29600 / 1
LCM(37,800) = 29600
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 9457/37, 1186/800?
Answer: GCF of Numerators as per given numbers 9457/37, 1186/800 is
GCF of Numerators i.e. for 9457,1186 is 1
LCM of denominators i.e. for 37,800 is 29600.
Thus, GCF of Fractions is 1/29600.Finally, GCF of Fractions for 9457/37, 1186/800 is 1/29600.