Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/24,612/90,836/655
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 935,612,836
Greatest Common Factor of Numerators i.e. GCF of 935,612,836 is 1 .
LCM of Denominators means LCM of 24,90,655 as per the given fractions.
LCM of 24,90,655 is 47160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,612,836
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 935,612,836 . The biggest common factor number is the GCF number.
So the greatest common factor 935,612,836 is 1.
Lets's calculate LCM of 24,90,655
2 | 24, 90, 655 |
3 | 12, 45, 655 |
5 | 4, 15, 655 |
4, 3, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 4 x 3 x 131 = 47160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47160
Therefore, the GCF of Fractions 935/24,612/90,836/655 is 1/47160
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 24,90,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,90,655) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(24,90,655) x common factors =1 x 30 = 30
LCM(24,90,655) = ( 24 × 90 × 655 ) / 30
LCM(24,90,655) = 1414800 / 30
LCM(24,90,655) = 47160
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 935/24, 612/90, 836/655?
Answer: GCF of Numerators as per given numbers 935/24, 612/90, 836/655 is
GCF of Numerators i.e. for 935,612,836 is 1
LCM of denominators i.e. for 24,90,655 is 47160.
Thus, GCF of Fractions is 1/47160.Finally, GCF of Fractions for 935/24, 612/90, 836/655 is 1/47160.