Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8577/801,1303/783
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 8577,1303
Greatest Common Factor of Numerators i.e. GCF of 8577,1303 is 1 .
LCM of Denominators means LCM of 801,783 as per the given fractions.
LCM of 801,783 is 69687 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8577,1303
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8577
List of positive integer factors of 8577 that divides 8577 without a remainder.
1,3,9,953,2859,8577
Factors of 1303
List of positive integer factors of 1303 that divides 1303 without a remainder.
1,1303
Greatest Common Factor
We found the factors 8577,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 8577,1303 is 1.
Lets's calculate LCM of 801,783
3 | 801, 783 |
3 | 267, 261 |
89, 87 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 87 = 69687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69687
Therefore, the GCF of Fractions 8577/801,1303/783 is 1/69687
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 801,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,783) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(801,783) x common factors =9 x 1 = 9
LCM(801,783) = ( 801 × 783 ) / 9
LCM(801,783) = 627183 / 9
LCM(801,783) = 69687
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 8577/801, 1303/783?
Answer: GCF of Numerators as per given numbers 8577/801, 1303/783 is
GCF of Numerators i.e. for 8577,1303 is 1
LCM of denominators i.e. for 801,783 is 69687.
Thus, GCF of Fractions is 1/69687.Finally, GCF of Fractions for 8577/801, 1303/783 is 1/69687.