Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/19,15/74,484/124
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 14,15,484
Greatest Common Factor of Numerators i.e. GCF of 14,15,484 is 1 .
LCM of Denominators means LCM of 19,74,124 as per the given fractions.
LCM of 19,74,124 is 87172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,15,484
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 14,15,484 . The biggest common factor number is the GCF number.
So the greatest common factor 14,15,484 is 1.
Lets's calculate LCM of 19,74,124
2 | 19, 74, 124 |
19, 37, 62 |
∴ So the LCM of the given numbers is 2 x 19 x 37 x 62 = 87172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87172
Therefore, the GCF of Fractions 14/19,15/74,484/124 is 1/87172
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 19,74,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,74,124) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(19,74,124) x common factors =1 x 2 = 2
LCM(19,74,124) = ( 19 × 74 × 124 ) / 2
LCM(19,74,124) = 174344 / 2
LCM(19,74,124) = 87172
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 14/19, 15/74, 484/124?
Answer: GCF of Numerators as per given numbers 14/19, 15/74, 484/124 is
GCF of Numerators i.e. for 14,15,484 is 1
LCM of denominators i.e. for 19,74,124 is 87172.
Thus, GCF of Fractions is 1/87172.Finally, GCF of Fractions for 14/19, 15/74, 484/124 is 1/87172.