Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/24,851/1491
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 494,851
Greatest Common Factor of Numerators i.e. GCF of 494,851 is 1 .
LCM of Denominators means LCM of 24,1491 as per the given fractions.
LCM of 24,1491 is 11928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 494,851 . The biggest common factor number is the GCF number.
So the greatest common factor 494,851 is 1.
Lets's calculate LCM of 24,1491
3 | 24, 1491 |
8, 497 |
∴ So the LCM of the given numbers is 3 x 8 x 497 = 11928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11928
Therefore, the GCF of Fractions 494/24,851/1491 is 1/11928
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 24,1491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,1491) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(24,1491) x common factors =3 x 1 = 3
LCM(24,1491) = ( 24 × 1491 ) / 3
LCM(24,1491) = 35784 / 3
LCM(24,1491) = 11928
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 494/24, 851/1491?
Answer: GCF of Numerators as per given numbers 494/24, 851/1491 is
GCF of Numerators i.e. for 494,851 is 1
LCM of denominators i.e. for 24,1491 is 11928.
Thus, GCF of Fractions is 1/11928.Finally, GCF of Fractions for 494/24, 851/1491 is 1/11928.