Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/74,99/34,71/99,266/27
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 89,99,71,266
Greatest Common Factor of Numerators i.e. GCF of 89,99,71,266 is 1 .
LCM of Denominators means LCM of 74,34,99,27 as per the given fractions.
LCM of 74,34,99,27 is 373626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,99,71,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 89,99,71,266 . The biggest common factor number is the GCF number.
So the greatest common factor 89,99,71,266 is 1.
Lets's calculate LCM of 74,34,99,27
2 | 74, 34, 99, 27 |
3 | 37, 17, 99, 27 |
3 | 37, 17, 33, 9 |
37, 17, 11, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 17 x 11 x 3 = 373626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373626
Therefore, the GCF of Fractions 89/74,99/34,71/99,266/27 is 1/373626
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 74,34,99,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,34,99,27) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(74,34,99,27) x common factors =1 x 18 = 18
LCM(74,34,99,27) = ( 74 × 34 × 99 × 27 ) / 18
LCM(74,34,99,27) = 6725268 / 18
LCM(74,34,99,27) = 373626
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 89/74, 99/34, 71/99, 266/27?
Answer: GCF of Numerators as per given numbers 89/74, 99/34, 71/99, 266/27 is
GCF of Numerators i.e. for 89,99,71,266 is 1
LCM of denominators i.e. for 74,34,99,27 is 373626.
Thus, GCF of Fractions is 1/373626.Finally, GCF of Fractions for 89/74, 99/34, 71/99, 266/27 is 1/373626.