Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/832,288/963,224/993
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 394,288,224
Greatest Common Factor of Numerators i.e. GCF of 394,288,224 is 2 .
LCM of Denominators means LCM of 832,963,993 as per the given fractions.
LCM of 832,963,993 is 265202496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,288,224
2 | 394, 288, 224 |
197, 144, 112 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 394,288,224 . The biggest common factor number is the GCF number.
So the greatest common factor 394,288,224 is 2.
Lets's calculate LCM of 832,963,993
3 | 832, 963, 993 |
832, 321, 331 |
∴ So the LCM of the given numbers is 3 x 832 x 321 x 331 = 265202496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/265202496
Therefore, the GCF of Fractions 394/832,288/963,224/993 is 2/265202496
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 832,963,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,963,993) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(832,963,993) x common factors =1 x 3 = 3
LCM(832,963,993) = ( 832 × 963 × 993 ) / 3
LCM(832,963,993) = 795607488 / 3
LCM(832,963,993) = 265202496
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 394/832, 288/963, 224/993?
Answer: GCF of Numerators as per given numbers 394/832, 288/963, 224/993 is
GCF of Numerators i.e. for 394,288,224 is 2
LCM of denominators i.e. for 832,963,993 is 265202496.
Thus, GCF of Fractions is 2/265202496.Finally, GCF of Fractions for 394/832, 288/963, 224/993 is 2/265202496.