Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2463/24,2818/158
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 2463,2818
Greatest Common Factor of Numerators i.e. GCF of 2463,2818 is 1 .
LCM of Denominators means LCM of 24,158 as per the given fractions.
LCM of 24,158 is 1896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2463,2818
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2463
List of positive integer factors of 2463 that divides 2463 without a remainder.
1,3,821,2463
Factors of 2818
List of positive integer factors of 2818 that divides 2818 without a remainder.
1,2,1409,2818
Greatest Common Factor
We found the factors 2463,2818 . The biggest common factor number is the GCF number.
So the greatest common factor 2463,2818 is 1.
Lets's calculate LCM of 24,158
2 | 24, 158 |
12, 79 |
∴ So the LCM of the given numbers is 2 x 12 x 79 = 1896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1896
Therefore, the GCF of Fractions 2463/24,2818/158 is 1/1896
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 24,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,158) x common factors =2 x 1 = 2
LCM(24,158) = ( 24 × 158 ) / 2
LCM(24,158) = 3792 / 2
LCM(24,158) = 1896
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 2463/24, 2818/158?
Answer: GCF of Numerators as per given numbers 2463/24, 2818/158 is
GCF of Numerators i.e. for 2463,2818 is 1
LCM of denominators i.e. for 24,158 is 1896.
Thus, GCF of Fractions is 1/1896.Finally, GCF of Fractions for 2463/24, 2818/158 is 1/1896.