Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1091/814,1771/208
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 1091,1771
Greatest Common Factor of Numerators i.e. GCF of 1091,1771 is 1 .
LCM of Denominators means LCM of 814,208 as per the given fractions.
LCM of 814,208 is 84656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1091,1771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1091
List of positive integer factors of 1091 that divides 1091 without a remainder.
1,1091
Factors of 1771
List of positive integer factors of 1771 that divides 1771 without a remainder.
1,7,11,23,77,161,253,1771
Greatest Common Factor
We found the factors 1091,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 1091,1771 is 1.
Lets's calculate LCM of 814,208
2 | 814, 208 |
407, 104 |
∴ So the LCM of the given numbers is 2 x 407 x 104 = 84656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84656
Therefore, the GCF of Fractions 1091/814,1771/208 is 1/84656
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 814,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,208) x common factors =2 x 1 = 2
LCM(814,208) = ( 814 × 208 ) / 2
LCM(814,208) = 169312 / 2
LCM(814,208) = 84656
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 1091/814, 1771/208?
Answer: GCF of Numerators as per given numbers 1091/814, 1771/208 is
GCF of Numerators i.e. for 1091,1771 is 1
LCM of denominators i.e. for 814,208 is 84656.
Thus, GCF of Fractions is 1/84656.Finally, GCF of Fractions for 1091/814, 1771/208 is 1/84656.