Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 693/26,8257/198
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 693,8257
Greatest Common Factor of Numerators i.e. GCF of 693,8257 is 1 .
LCM of Denominators means LCM of 26,198 as per the given fractions.
LCM of 26,198 is 2574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 693,8257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 8257
List of positive integer factors of 8257 that divides 8257 without a remainder.
1,23,359,8257
Greatest Common Factor
We found the factors 693,8257 . The biggest common factor number is the GCF number.
So the greatest common factor 693,8257 is 1.
Lets's calculate LCM of 26,198
2 | 26, 198 |
13, 99 |
∴ So the LCM of the given numbers is 2 x 13 x 99 = 2574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2574
Therefore, the GCF of Fractions 693/26,8257/198 is 1/2574
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 26,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,198) x common factors =2 x 1 = 2
LCM(26,198) = ( 26 × 198 ) / 2
LCM(26,198) = 5148 / 2
LCM(26,198) = 2574
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 693/26, 8257/198?
Answer: GCF of Numerators as per given numbers 693/26, 8257/198 is
GCF of Numerators i.e. for 693,8257 is 1
LCM of denominators i.e. for 26,198 is 2574.
Thus, GCF of Fractions is 1/2574.Finally, GCF of Fractions for 693/26, 8257/198 is 1/2574.