Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/66,394/45,728/38
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 207,394,728
Greatest Common Factor of Numerators i.e. GCF of 207,394,728 is 1 .
LCM of Denominators means LCM of 66,45,38 as per the given fractions.
LCM of 66,45,38 is 18810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 207,394,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 207,394,728 . The biggest common factor number is the GCF number.
So the greatest common factor 207,394,728 is 1.
Lets's calculate LCM of 66,45,38
2 | 66, 45, 38 |
3 | 33, 45, 19 |
11, 15, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 15 x 19 = 18810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18810
Therefore, the GCF of Fractions 207/66,394/45,728/38 is 1/18810
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 66,45,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,45,38) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,45,38) x common factors =1 x 6 = 6
LCM(66,45,38) = ( 66 × 45 × 38 ) / 6
LCM(66,45,38) = 112860 / 6
LCM(66,45,38) = 18810
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 207/66, 394/45, 728/38?
Answer: GCF of Numerators as per given numbers 207/66, 394/45, 728/38 is
GCF of Numerators i.e. for 207,394,728 is 1
LCM of denominators i.e. for 66,45,38 is 18810.
Thus, GCF of Fractions is 1/18810.Finally, GCF of Fractions for 207/66, 394/45, 728/38 is 1/18810.