Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5655/934,9973/6928
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 5655,9973
Greatest Common Factor of Numerators i.e. GCF of 5655,9973 is 1 .
LCM of Denominators means LCM of 934,6928 as per the given fractions.
LCM of 934,6928 is 3235376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5655,9973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5655
List of positive integer factors of 5655 that divides 5655 without a remainder.
1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Factors of 9973
List of positive integer factors of 9973 that divides 9973 without a remainder.
1,9973
Greatest Common Factor
We found the factors 5655,9973 . The biggest common factor number is the GCF number.
So the greatest common factor 5655,9973 is 1.
Lets's calculate LCM of 934,6928
2 | 934, 6928 |
467, 3464 |
∴ So the LCM of the given numbers is 2 x 467 x 3464 = 3235376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3235376
Therefore, the GCF of Fractions 5655/934,9973/6928 is 1/3235376
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 934,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,6928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,6928) x common factors =2 x 1 = 2
LCM(934,6928) = ( 934 × 6928 ) / 2
LCM(934,6928) = 6470752 / 2
LCM(934,6928) = 3235376
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 5655/934, 9973/6928?
Answer: GCF of Numerators as per given numbers 5655/934, 9973/6928 is
GCF of Numerators i.e. for 5655,9973 is 1
LCM of denominators i.e. for 934,6928 is 3235376.
Thus, GCF of Fractions is 1/3235376.Finally, GCF of Fractions for 5655/934, 9973/6928 is 1/3235376.