Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/21,42/29,550/288
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 61,42,550
Greatest Common Factor of Numerators i.e. GCF of 61,42,550 is 1 .
LCM of Denominators means LCM of 21,29,288 as per the given fractions.
LCM of 21,29,288 is 58464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,42,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 61,42,550 . The biggest common factor number is the GCF number.
So the greatest common factor 61,42,550 is 1.
Lets's calculate LCM of 21,29,288
3 | 21, 29, 288 |
7, 29, 96 |
∴ So the LCM of the given numbers is 3 x 7 x 29 x 96 = 58464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58464
Therefore, the GCF of Fractions 61/21,42/29,550/288 is 1/58464
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 21,29,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,29,288) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,29,288) x common factors =1 x 3 = 3
LCM(21,29,288) = ( 21 × 29 × 288 ) / 3
LCM(21,29,288) = 175392 / 3
LCM(21,29,288) = 58464
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 61/21, 42/29, 550/288?
Answer: GCF of Numerators as per given numbers 61/21, 42/29, 550/288 is
GCF of Numerators i.e. for 61,42,550 is 1
LCM of denominators i.e. for 21,29,288 is 58464.
Thus, GCF of Fractions is 1/58464.Finally, GCF of Fractions for 61/21, 42/29, 550/288 is 1/58464.