Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/422,6885/546
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 935,6885
Greatest Common Factor of Numerators i.e. GCF of 935,6885 is 85 .
LCM of Denominators means LCM of 422,546 as per the given fractions.
LCM of 422,546 is 115206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,6885
5 | 935, 6885 |
17 | 187, 1377 |
11, 81 |
∴ So the GCF of the given numbers is 5 x 17 = 85
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 6885
List of positive integer factors of 6885 that divides 6885 without a remainder.
1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885
Greatest Common Factor
We found the factors 935,6885 . The biggest common factor number is the GCF number.
So the greatest common factor 935,6885 is 85.
Lets's calculate LCM of 422,546
2 | 422, 546 |
211, 273 |
∴ So the LCM of the given numbers is 2 x 211 x 273 = 115206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/115206
Therefore, the GCF of Fractions 935/422,6885/546 is 85/115206
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 422,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,546) x common factors =2 x 1 = 2
LCM(422,546) = ( 422 × 546 ) / 2
LCM(422,546) = 230412 / 2
LCM(422,546) = 115206
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 935/422, 6885/546?
Answer: GCF of Numerators as per given numbers 935/422, 6885/546 is
GCF of Numerators i.e. for 935,6885 is 85
LCM of denominators i.e. for 422,546 is 115206.
Thus, GCF of Fractions is 85/115206.Finally, GCF of Fractions for 935/422, 6885/546 is 85/115206.