Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/466,846/389,799/381
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 425,846,799
Greatest Common Factor of Numerators i.e. GCF of 425,846,799 is 1 .
LCM of Denominators means LCM of 466,389,381 as per the given fractions.
LCM of 466,389,381 is 69065394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 425,846,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 425,846,799 . The biggest common factor number is the GCF number.
So the greatest common factor 425,846,799 is 1.
Lets's calculate LCM of 466,389,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 69065394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69065394
Therefore, the GCF of Fractions 425/466,846/389,799/381 is 1/69065394
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 466,389,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,389,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,389,381) x common factors =1 x 1 = 1
LCM(466,389,381) = ( 466 × 389 × 381 ) / 1
LCM(466,389,381) = 69065394 / 1
LCM(466,389,381) = 69065394
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 425/466, 846/389, 799/381?
Answer: GCF of Numerators as per given numbers 425/466, 846/389, 799/381 is
GCF of Numerators i.e. for 425,846,799 is 1
LCM of denominators i.e. for 466,389,381 is 69065394.
Thus, GCF of Fractions is 1/69065394.Finally, GCF of Fractions for 425/466, 846/389, 799/381 is 1/69065394.