Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/122,7405/8466
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 325,7405
Greatest Common Factor of Numerators i.e. GCF of 325,7405 is 5 .
LCM of Denominators means LCM of 122,8466 as per the given fractions.
LCM of 122,8466 is 516426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 325,7405
5 | 325, 7405 |
65, 1481 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 7405
List of positive integer factors of 7405 that divides 7405 without a remainder.
1,5,1481,7405
Greatest Common Factor
We found the factors 325,7405 . The biggest common factor number is the GCF number.
So the greatest common factor 325,7405 is 5.
Lets's calculate LCM of 122,8466
2 | 122, 8466 |
61, 4233 |
∴ So the LCM of the given numbers is 2 x 61 x 4233 = 516426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/516426
Therefore, the GCF of Fractions 325/122,7405/8466 is 5/516426
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 122,8466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,8466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,8466) x common factors =2 x 1 = 2
LCM(122,8466) = ( 122 × 8466 ) / 2
LCM(122,8466) = 1032852 / 2
LCM(122,8466) = 516426
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 325/122, 7405/8466?
Answer: GCF of Numerators as per given numbers 325/122, 7405/8466 is
GCF of Numerators i.e. for 325,7405 is 5
LCM of denominators i.e. for 122,8466 is 516426.
Thus, GCF of Fractions is 5/516426.Finally, GCF of Fractions for 325/122, 7405/8466 is 5/516426.