Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2414/20,5291/544
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 2414,5291
Greatest Common Factor of Numerators i.e. GCF of 2414,5291 is 1 .
LCM of Denominators means LCM of 20,544 as per the given fractions.
LCM of 20,544 is 2720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2414,5291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2414
List of positive integer factors of 2414 that divides 2414 without a remainder.
1,2,17,34,71,142,1207,2414
Factors of 5291
List of positive integer factors of 5291 that divides 5291 without a remainder.
1,11,13,37,143,407,481,5291
Greatest Common Factor
We found the factors 2414,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 2414,5291 is 1.
Lets's calculate LCM of 20,544
2 | 20, 544 |
2 | 10, 272 |
5, 136 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 136 = 2720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2720
Therefore, the GCF of Fractions 2414/20,5291/544 is 1/2720
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 20,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,544) x common factors =4 x 1 = 4
LCM(20,544) = ( 20 × 544 ) / 4
LCM(20,544) = 10880 / 4
LCM(20,544) = 2720
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 2414/20, 5291/544?
Answer: GCF of Numerators as per given numbers 2414/20, 5291/544 is
GCF of Numerators i.e. for 2414,5291 is 1
LCM of denominators i.e. for 20,544 is 2720.
Thus, GCF of Fractions is 1/2720.Finally, GCF of Fractions for 2414/20, 5291/544 is 1/2720.