Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/26,197/29,749/319
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 410,197,749
Greatest Common Factor of Numerators i.e. GCF of 410,197,749 is 1 .
LCM of Denominators means LCM of 26,29,319 as per the given fractions.
LCM of 26,29,319 is 8294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 410,197,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 410,197,749 . The biggest common factor number is the GCF number.
So the greatest common factor 410,197,749 is 1.
Lets's calculate LCM of 26,29,319
29 | 26, 29, 319 |
26, 1, 11 |
∴ So the LCM of the given numbers is 29 x 26 x 1 x 11 = 8294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8294
Therefore, the GCF of Fractions 410/26,197/29,749/319 is 1/8294
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 26,29,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,29,319) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(26,29,319) x common factors =1 x 29 = 29
LCM(26,29,319) = ( 26 × 29 × 319 ) / 29
LCM(26,29,319) = 240526 / 29
LCM(26,29,319) = 8294
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 410/26, 197/29, 749/319?
Answer: GCF of Numerators as per given numbers 410/26, 197/29, 749/319 is
GCF of Numerators i.e. for 410,197,749 is 1
LCM of denominators i.e. for 26,29,319 is 8294.
Thus, GCF of Fractions is 1/8294.Finally, GCF of Fractions for 410/26, 197/29, 749/319 is 1/8294.