Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7223/896,2426/891
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 7223,2426
Greatest Common Factor of Numerators i.e. GCF of 7223,2426 is 1 .
LCM of Denominators means LCM of 896,891 as per the given fractions.
LCM of 896,891 is 798336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7223,2426
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7223
List of positive integer factors of 7223 that divides 7223 without a remainder.
1,31,233,7223
Factors of 2426
List of positive integer factors of 2426 that divides 2426 without a remainder.
1,2,1213,2426
Greatest Common Factor
We found the factors 7223,2426 . The biggest common factor number is the GCF number.
So the greatest common factor 7223,2426 is 1.
Lets's calculate LCM of 896,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 798336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798336
Therefore, the GCF of Fractions 7223/896,2426/891 is 1/798336
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 896,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,891) x common factors =1 x 1 = 1
LCM(896,891) = ( 896 × 891 ) / 1
LCM(896,891) = 798336 / 1
LCM(896,891) = 798336
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 7223/896, 2426/891?
Answer: GCF of Numerators as per given numbers 7223/896, 2426/891 is
GCF of Numerators i.e. for 7223,2426 is 1
LCM of denominators i.e. for 896,891 is 798336.
Thus, GCF of Fractions is 1/798336.Finally, GCF of Fractions for 7223/896, 2426/891 is 1/798336.