Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8263/306,1760/9276
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 8263,1760
Greatest Common Factor of Numerators i.e. GCF of 8263,1760 is 1 .
LCM of Denominators means LCM of 306,9276 as per the given fractions.
LCM of 306,9276 is 473076 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8263,1760
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8263
List of positive integer factors of 8263 that divides 8263 without a remainder.
1,8263
Factors of 1760
List of positive integer factors of 1760 that divides 1760 without a remainder.
1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760
Greatest Common Factor
We found the factors 8263,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 8263,1760 is 1.
Lets's calculate LCM of 306,9276
2 | 306, 9276 |
3 | 153, 4638 |
51, 1546 |
∴ So the LCM of the given numbers is 2 x 3 x 51 x 1546 = 473076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473076
Therefore, the GCF of Fractions 8263/306,1760/9276 is 1/473076
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 306,9276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,9276) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(306,9276) x common factors =6 x 1 = 6
LCM(306,9276) = ( 306 × 9276 ) / 6
LCM(306,9276) = 2838456 / 6
LCM(306,9276) = 473076
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 8263/306, 1760/9276?
Answer: GCF of Numerators as per given numbers 8263/306, 1760/9276 is
GCF of Numerators i.e. for 8263,1760 is 1
LCM of denominators i.e. for 306,9276 is 473076.
Thus, GCF of Fractions is 1/473076.Finally, GCF of Fractions for 8263/306, 1760/9276 is 1/473076.