Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6850/41,1327/232
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 6850,1327
Greatest Common Factor of Numerators i.e. GCF of 6850,1327 is 1 .
LCM of Denominators means LCM of 41,232 as per the given fractions.
LCM of 41,232 is 9512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6850,1327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6850
List of positive integer factors of 6850 that divides 6850 without a remainder.
1,2,5,10,25,50,137,274,685,1370,3425,6850
Factors of 1327
List of positive integer factors of 1327 that divides 1327 without a remainder.
1,1327
Greatest Common Factor
We found the factors 6850,1327 . The biggest common factor number is the GCF number.
So the greatest common factor 6850,1327 is 1.
Lets's calculate LCM of 41,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 9512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9512
Therefore, the GCF of Fractions 6850/41,1327/232 is 1/9512
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 41,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,232) x common factors =1 x 1 = 1
LCM(41,232) = ( 41 × 232 ) / 1
LCM(41,232) = 9512 / 1
LCM(41,232) = 9512
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 6850/41, 1327/232?
Answer: GCF of Numerators as per given numbers 6850/41, 1327/232 is
GCF of Numerators i.e. for 6850,1327 is 1
LCM of denominators i.e. for 41,232 is 9512.
Thus, GCF of Fractions is 1/9512.Finally, GCF of Fractions for 6850/41, 1327/232 is 1/9512.