Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 330/76,429/37,913/63
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 330,429,913
Greatest Common Factor of Numerators i.e. GCF of 330,429,913 is 11 .
LCM of Denominators means LCM of 76,37,63 as per the given fractions.
LCM of 76,37,63 is 177156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 330,429,913
11 | 330, 429, 913 |
30, 39, 83 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 330,429,913 . The biggest common factor number is the GCF number.
So the greatest common factor 330,429,913 is 11.
Lets's calculate LCM of 76,37,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 177156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/177156
Therefore, the GCF of Fractions 330/76,429/37,913/63 is 11/177156
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 76,37,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,37,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,37,63) x common factors =1 x 1 = 1
LCM(76,37,63) = ( 76 × 37 × 63 ) / 1
LCM(76,37,63) = 177156 / 1
LCM(76,37,63) = 177156
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 330/76, 429/37, 913/63?
Answer: GCF of Numerators as per given numbers 330/76, 429/37, 913/63 is
GCF of Numerators i.e. for 330,429,913 is 11
LCM of denominators i.e. for 76,37,63 is 177156.
Thus, GCF of Fractions is 11/177156.Finally, GCF of Fractions for 330/76, 429/37, 913/63 is 11/177156.