Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/864,4463/8596
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 868,4463
Greatest Common Factor of Numerators i.e. GCF of 868,4463 is 1 .
LCM of Denominators means LCM of 864,8596 as per the given fractions.
LCM of 864,8596 is 1856736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 868,4463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 4463
List of positive integer factors of 4463 that divides 4463 without a remainder.
1,4463
Greatest Common Factor
We found the factors 868,4463 . The biggest common factor number is the GCF number.
So the greatest common factor 868,4463 is 1.
Lets's calculate LCM of 864,8596
2 | 864, 8596 |
2 | 432, 4298 |
216, 2149 |
∴ So the LCM of the given numbers is 2 x 2 x 216 x 2149 = 1856736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1856736
Therefore, the GCF of Fractions 868/864,4463/8596 is 1/1856736
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 864,8596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,8596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(864,8596) x common factors =4 x 1 = 4
LCM(864,8596) = ( 864 × 8596 ) / 4
LCM(864,8596) = 7426944 / 4
LCM(864,8596) = 1856736
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 868/864, 4463/8596?
Answer: GCF of Numerators as per given numbers 868/864, 4463/8596 is
GCF of Numerators i.e. for 868,4463 is 1
LCM of denominators i.e. for 864,8596 is 1856736.
Thus, GCF of Fractions is 1/1856736.Finally, GCF of Fractions for 868/864, 4463/8596 is 1/1856736.