Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/18,26/76,21/57,99/460
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 18,26,21,99
Greatest Common Factor of Numerators i.e. GCF of 18,26,21,99 is 1 .
LCM of Denominators means LCM of 18,76,57,460 as per the given fractions.
LCM of 18,76,57,460 is 78660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,26,21,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 18,26,21,99 . The biggest common factor number is the GCF number.
So the greatest common factor 18,26,21,99 is 1.
Lets's calculate LCM of 18,76,57,460
2 | 18, 76, 57, 460 |
2 | 9, 38, 57, 230 |
3 | 9, 19, 57, 115 |
19 | 3, 19, 19, 115 |
3, 1, 1, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 3 x 1 x 1 x 115 = 78660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78660
Therefore, the GCF of Fractions 18/18,26/76,21/57,99/460 is 1/78660
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 18,76,57,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,76,57,460) = 1
common factors(in case of two or more numbers have common factors) = 456
GCF(18,76,57,460) x common factors =1 x 456 = 456
LCM(18,76,57,460) = ( 18 × 76 × 57 × 460 ) / 456
LCM(18,76,57,460) = 35868960 / 456
LCM(18,76,57,460) = 78660
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 18/18, 26/76, 21/57, 99/460?
Answer: GCF of Numerators as per given numbers 18/18, 26/76, 21/57, 99/460 is
GCF of Numerators i.e. for 18,26,21,99 is 1
LCM of denominators i.e. for 18,76,57,460 is 78660.
Thus, GCF of Fractions is 1/78660.Finally, GCF of Fractions for 18/18, 26/76, 21/57, 99/460 is 1/78660.