Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/823,7709/4223
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 24,7709
Greatest Common Factor of Numerators i.e. GCF of 24,7709 is 1 .
LCM of Denominators means LCM of 823,4223 as per the given fractions.
LCM of 823,4223 is 3475529 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,7709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 7709
List of positive integer factors of 7709 that divides 7709 without a remainder.
1,13,593,7709
Greatest Common Factor
We found the factors 24,7709 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7709 is 1.
Lets's calculate LCM of 823,4223
Given numbers has no common factors except 1. So, there LCM is their product i.e 3475529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3475529
Therefore, the GCF of Fractions 24/823,7709/4223 is 1/3475529
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 823,4223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,4223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,4223) x common factors =1 x 1 = 1
LCM(823,4223) = ( 823 × 4223 ) / 1
LCM(823,4223) = 3475529 / 1
LCM(823,4223) = 3475529
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 24/823, 7709/4223?
Answer: GCF of Numerators as per given numbers 24/823, 7709/4223 is
GCF of Numerators i.e. for 24,7709 is 1
LCM of denominators i.e. for 823,4223 is 3475529.
Thus, GCF of Fractions is 1/3475529.Finally, GCF of Fractions for 24/823, 7709/4223 is 1/3475529.