Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/75,86/56,407/325
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 65,86,407
Greatest Common Factor of Numerators i.e. GCF of 65,86,407 is 1 .
LCM of Denominators means LCM of 75,56,325 as per the given fractions.
LCM of 75,56,325 is 54600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,86,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Greatest Common Factor
We found the factors 65,86,407 . The biggest common factor number is the GCF number.
So the greatest common factor 65,86,407 is 1.
Lets's calculate LCM of 75,56,325
5 | 75, 56, 325 |
5 | 15, 56, 65 |
3, 56, 13 |
∴ So the LCM of the given numbers is 5 x 5 x 3 x 56 x 13 = 54600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54600
Therefore, the GCF of Fractions 65/75,86/56,407/325 is 1/54600
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 75,56,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,56,325) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(75,56,325) x common factors =1 x 25 = 25
LCM(75,56,325) = ( 75 × 56 × 325 ) / 25
LCM(75,56,325) = 1365000 / 25
LCM(75,56,325) = 54600
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 65/75, 86/56, 407/325?
Answer: GCF of Numerators as per given numbers 65/75, 86/56, 407/325 is
GCF of Numerators i.e. for 65,86,407 is 1
LCM of denominators i.e. for 75,56,325 is 54600.
Thus, GCF of Fractions is 1/54600.Finally, GCF of Fractions for 65/75, 86/56, 407/325 is 1/54600.