Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/940,125/408,425/765
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 307,125,425
Greatest Common Factor of Numerators i.e. GCF of 307,125,425 is 1 .
LCM of Denominators means LCM of 940,408,765 as per the given fractions.
LCM of 940,408,765 is 287640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 307,125,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 307,125,425 . The biggest common factor number is the GCF number.
So the greatest common factor 307,125,425 is 1.
Lets's calculate LCM of 940,408,765
2 | 940, 408, 765 |
2 | 470, 204, 765 |
3 | 235, 102, 765 |
5 | 235, 34, 255 |
17 | 47, 34, 51 |
47, 2, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 47 x 2 x 3 = 287640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287640
Therefore, the GCF of Fractions 307/940,125/408,425/765 is 1/287640
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 940,408,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,408,765) = 1
common factors(in case of two or more numbers have common factors) = 1020
GCF(940,408,765) x common factors =1 x 1020 = 1020
LCM(940,408,765) = ( 940 × 408 × 765 ) / 1020
LCM(940,408,765) = 293392800 / 1020
LCM(940,408,765) = 287640
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 307/940, 125/408, 425/765?
Answer: GCF of Numerators as per given numbers 307/940, 125/408, 425/765 is
GCF of Numerators i.e. for 307,125,425 is 1
LCM of denominators i.e. for 940,408,765 is 287640.
Thus, GCF of Fractions is 1/287640.Finally, GCF of Fractions for 307/940, 125/408, 425/765 is 1/287640.