Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/14,219/24,785/515
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 302,219,785
Greatest Common Factor of Numerators i.e. GCF of 302,219,785 is 1 .
LCM of Denominators means LCM of 14,24,515 as per the given fractions.
LCM of 14,24,515 is 86520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 302,219,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 302,219,785 . The biggest common factor number is the GCF number.
So the greatest common factor 302,219,785 is 1.
Lets's calculate LCM of 14,24,515
2 | 14, 24, 515 |
7, 12, 515 |
∴ So the LCM of the given numbers is 2 x 7 x 12 x 515 = 86520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86520
Therefore, the GCF of Fractions 302/14,219/24,785/515 is 1/86520
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 14,24,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,24,515) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,24,515) x common factors =1 x 2 = 2
LCM(14,24,515) = ( 14 × 24 × 515 ) / 2
LCM(14,24,515) = 173040 / 2
LCM(14,24,515) = 86520
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 302/14, 219/24, 785/515?
Answer: GCF of Numerators as per given numbers 302/14, 219/24, 785/515 is
GCF of Numerators i.e. for 302,219,785 is 1
LCM of denominators i.e. for 14,24,515 is 86520.
Thus, GCF of Fractions is 1/86520.Finally, GCF of Fractions for 302/14, 219/24, 785/515 is 1/86520.