Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 622/327,389/149,413/795
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 622,389,413
Greatest Common Factor of Numerators i.e. GCF of 622,389,413 is 1 .
LCM of Denominators means LCM of 327,149,795 as per the given fractions.
LCM of 327,149,795 is 12911595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 622,389,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 622,389,413 . The biggest common factor number is the GCF number.
So the greatest common factor 622,389,413 is 1.
Lets's calculate LCM of 327,149,795
3 | 327, 149, 795 |
109, 149, 265 |
∴ So the LCM of the given numbers is 3 x 109 x 149 x 265 = 12911595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12911595
Therefore, the GCF of Fractions 622/327,389/149,413/795 is 1/12911595
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 327,149,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,149,795) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(327,149,795) x common factors =1 x 3 = 3
LCM(327,149,795) = ( 327 × 149 × 795 ) / 3
LCM(327,149,795) = 38734785 / 3
LCM(327,149,795) = 12911595
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 622/327, 389/149, 413/795?
Answer: GCF of Numerators as per given numbers 622/327, 389/149, 413/795 is
GCF of Numerators i.e. for 622,389,413 is 1
LCM of denominators i.e. for 327,149,795 is 12911595.
Thus, GCF of Fractions is 1/12911595.Finally, GCF of Fractions for 622/327, 389/149, 413/795 is 1/12911595.