Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/954,6847/726
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 906,6847
Greatest Common Factor of Numerators i.e. GCF of 906,6847 is 1 .
LCM of Denominators means LCM of 954,726 as per the given fractions.
LCM of 954,726 is 115434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,6847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 6847
List of positive integer factors of 6847 that divides 6847 without a remainder.
1,41,167,6847
Greatest Common Factor
We found the factors 906,6847 . The biggest common factor number is the GCF number.
So the greatest common factor 906,6847 is 1.
Lets's calculate LCM of 954,726
2 | 954, 726 |
3 | 477, 363 |
159, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 159 x 121 = 115434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115434
Therefore, the GCF of Fractions 906/954,6847/726 is 1/115434
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 954,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,726) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(954,726) x common factors =6 x 1 = 6
LCM(954,726) = ( 954 × 726 ) / 6
LCM(954,726) = 692604 / 6
LCM(954,726) = 115434
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 906/954, 6847/726?
Answer: GCF of Numerators as per given numbers 906/954, 6847/726 is
GCF of Numerators i.e. for 906,6847 is 1
LCM of denominators i.e. for 954,726 is 115434.
Thus, GCF of Fractions is 1/115434.Finally, GCF of Fractions for 906/954, 6847/726 is 1/115434.