Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8605/32,3151/175
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 8605,3151
Greatest Common Factor of Numerators i.e. GCF of 8605,3151 is 1 .
LCM of Denominators means LCM of 32,175 as per the given fractions.
LCM of 32,175 is 5600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8605,3151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8605
List of positive integer factors of 8605 that divides 8605 without a remainder.
1,5,1721,8605
Factors of 3151
List of positive integer factors of 3151 that divides 3151 without a remainder.
1,23,137,3151
Greatest Common Factor
We found the factors 8605,3151 . The biggest common factor number is the GCF number.
So the greatest common factor 8605,3151 is 1.
Lets's calculate LCM of 32,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 5600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5600
Therefore, the GCF of Fractions 8605/32,3151/175 is 1/5600
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 32,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,175) x common factors =1 x 1 = 1
LCM(32,175) = ( 32 × 175 ) / 1
LCM(32,175) = 5600 / 1
LCM(32,175) = 5600
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 8605/32, 3151/175?
Answer: GCF of Numerators as per given numbers 8605/32, 3151/175 is
GCF of Numerators i.e. for 8605,3151 is 1
LCM of denominators i.e. for 32,175 is 5600.
Thus, GCF of Fractions is 1/5600.Finally, GCF of Fractions for 8605/32, 3151/175 is 1/5600.