Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/24,33/18,381/632
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 13,33,381
Greatest Common Factor of Numerators i.e. GCF of 13,33,381 is 1 .
LCM of Denominators means LCM of 24,18,632 as per the given fractions.
LCM of 24,18,632 is 5688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,33,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 13,33,381 . The biggest common factor number is the GCF number.
So the greatest common factor 13,33,381 is 1.
Lets's calculate LCM of 24,18,632
2 | 24, 18, 632 |
2 | 12, 9, 316 |
2 | 6, 9, 158 |
3 | 3, 9, 79 |
1, 3, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 3 x 79 = 5688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5688
Therefore, the GCF of Fractions 13/24,33/18,381/632 is 1/5688
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 24,18,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,18,632) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(24,18,632) x common factors =2 x 24 = 48
LCM(24,18,632) = ( 24 × 18 × 632 ) / 48
LCM(24,18,632) = 273024 / 48
LCM(24,18,632) = 5688
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 13/24, 33/18, 381/632?
Answer: GCF of Numerators as per given numbers 13/24, 33/18, 381/632 is
GCF of Numerators i.e. for 13,33,381 is 1
LCM of denominators i.e. for 24,18,632 is 5688.
Thus, GCF of Fractions is 1/5688.Finally, GCF of Fractions for 13/24, 33/18, 381/632 is 1/5688.