Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/66,94/54,908/761
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 18,94,908
Greatest Common Factor of Numerators i.e. GCF of 18,94,908 is 2 .
LCM of Denominators means LCM of 66,54,761 as per the given fractions.
LCM of 66,54,761 is 452034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,94,908
2 | 18, 94, 908 |
9, 47, 454 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 18,94,908 . The biggest common factor number is the GCF number.
So the greatest common factor 18,94,908 is 2.
Lets's calculate LCM of 66,54,761
2 | 66, 54, 761 |
3 | 33, 27, 761 |
11, 9, 761 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 761 = 452034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/452034
Therefore, the GCF of Fractions 18/66,94/54,908/761 is 2/452034
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 66,54,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,54,761) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,54,761) x common factors =1 x 6 = 6
LCM(66,54,761) = ( 66 × 54 × 761 ) / 6
LCM(66,54,761) = 2712204 / 6
LCM(66,54,761) = 452034
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 18/66, 94/54, 908/761?
Answer: GCF of Numerators as per given numbers 18/66, 94/54, 908/761 is
GCF of Numerators i.e. for 18,94,908 is 2
LCM of denominators i.e. for 66,54,761 is 452034.
Thus, GCF of Fractions is 2/452034.Finally, GCF of Fractions for 18/66, 94/54, 908/761 is 2/452034.