Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/89,3266/935
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 895,3266
Greatest Common Factor of Numerators i.e. GCF of 895,3266 is 1 .
LCM of Denominators means LCM of 89,935 as per the given fractions.
LCM of 89,935 is 83215 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 895,3266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 3266
List of positive integer factors of 3266 that divides 3266 without a remainder.
1,2,23,46,71,142,1633,3266
Greatest Common Factor
We found the factors 895,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 895,3266 is 1.
Lets's calculate LCM of 89,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 83215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83215
Therefore, the GCF of Fractions 895/89,3266/935 is 1/83215
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 89,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,935) x common factors =1 x 1 = 1
LCM(89,935) = ( 89 × 935 ) / 1
LCM(89,935) = 83215 / 1
LCM(89,935) = 83215
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 895/89, 3266/935?
Answer: GCF of Numerators as per given numbers 895/89, 3266/935 is
GCF of Numerators i.e. for 895,3266 is 1
LCM of denominators i.e. for 89,935 is 83215.
Thus, GCF of Fractions is 1/83215.Finally, GCF of Fractions for 895/89, 3266/935 is 1/83215.