Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/13,490/24,561/90
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 109,490,561
Greatest Common Factor of Numerators i.e. GCF of 109,490,561 is 1 .
LCM of Denominators means LCM of 13,24,90 as per the given fractions.
LCM of 13,24,90 is 4680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 109,490,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 109,490,561 . The biggest common factor number is the GCF number.
So the greatest common factor 109,490,561 is 1.
Lets's calculate LCM of 13,24,90
2 | 13, 24, 90 |
3 | 13, 12, 45 |
13, 4, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 4 x 15 = 4680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4680
Therefore, the GCF of Fractions 109/13,490/24,561/90 is 1/4680
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 13,24,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,24,90) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(13,24,90) x common factors =1 x 6 = 6
LCM(13,24,90) = ( 13 × 24 × 90 ) / 6
LCM(13,24,90) = 28080 / 6
LCM(13,24,90) = 4680
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 109/13, 490/24, 561/90?
Answer: GCF of Numerators as per given numbers 109/13, 490/24, 561/90 is
GCF of Numerators i.e. for 109,490,561 is 1
LCM of denominators i.e. for 13,24,90 is 4680.
Thus, GCF of Fractions is 1/4680.Finally, GCF of Fractions for 109/13, 490/24, 561/90 is 1/4680.