Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/82,352/50,918/244
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 934,352,918
Greatest Common Factor of Numerators i.e. GCF of 934,352,918 is 2 .
LCM of Denominators means LCM of 82,50,244 as per the given fractions.
LCM of 82,50,244 is 250100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,352,918
2 | 934, 352, 918 |
467, 176, 459 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 934,352,918 . The biggest common factor number is the GCF number.
So the greatest common factor 934,352,918 is 2.
Lets's calculate LCM of 82,50,244
2 | 82, 50, 244 |
41, 25, 122 |
∴ So the LCM of the given numbers is 2 x 41 x 25 x 122 = 250100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/250100
Therefore, the GCF of Fractions 934/82,352/50,918/244 is 2/250100
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 82,50,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,50,244) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(82,50,244) x common factors =2 x 2 = 4
LCM(82,50,244) = ( 82 × 50 × 244 ) / 4
LCM(82,50,244) = 1000400 / 4
LCM(82,50,244) = 250100
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 934/82, 352/50, 918/244?
Answer: GCF of Numerators as per given numbers 934/82, 352/50, 918/244 is
GCF of Numerators i.e. for 934,352,918 is 2
LCM of denominators i.e. for 82,50,244 is 250100.
Thus, GCF of Fractions is 2/250100.Finally, GCF of Fractions for 934/82, 352/50, 918/244 is 2/250100.