Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2562/824,2823/7868
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 2562,2823
Greatest Common Factor of Numerators i.e. GCF of 2562,2823 is 3 .
LCM of Denominators means LCM of 824,7868 as per the given fractions.
LCM of 824,7868 is 1620808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2562,2823
3 | 2562, 2823 |
854, 941 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2562
List of positive integer factors of 2562 that divides 2562 without a remainder.
1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Factors of 2823
List of positive integer factors of 2823 that divides 2823 without a remainder.
1,3,941,2823
Greatest Common Factor
We found the factors 2562,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 2562,2823 is 3.
Lets's calculate LCM of 824,7868
2 | 824, 7868 |
2 | 412, 3934 |
206, 1967 |
∴ So the LCM of the given numbers is 2 x 2 x 206 x 1967 = 1620808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1620808
Therefore, the GCF of Fractions 2562/824,2823/7868 is 3/1620808
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 824,7868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,7868) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(824,7868) x common factors =4 x 1 = 4
LCM(824,7868) = ( 824 × 7868 ) / 4
LCM(824,7868) = 6483232 / 4
LCM(824,7868) = 1620808
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 2562/824, 2823/7868?
Answer: GCF of Numerators as per given numbers 2562/824, 2823/7868 is
GCF of Numerators i.e. for 2562,2823 is 3
LCM of denominators i.e. for 824,7868 is 1620808.
Thus, GCF of Fractions is 3/1620808.Finally, GCF of Fractions for 2562/824, 2823/7868 is 3/1620808.