Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4396/847,5753/9659
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 4396,5753
Greatest Common Factor of Numerators i.e. GCF of 4396,5753 is 1 .
LCM of Denominators means LCM of 847,9659 as per the given fractions.
LCM of 847,9659 is 8181173 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4396,5753
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4396
List of positive integer factors of 4396 that divides 4396 without a remainder.
1,2,4,7,14,28,157,314,628,1099,2198,4396
Factors of 5753
List of positive integer factors of 5753 that divides 5753 without a remainder.
1,11,523,5753
Greatest Common Factor
We found the factors 4396,5753 . The biggest common factor number is the GCF number.
So the greatest common factor 4396,5753 is 1.
Lets's calculate LCM of 847,9659
Given numbers has no common factors except 1. So, there LCM is their product i.e 8181173
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8181173
Therefore, the GCF of Fractions 4396/847,5753/9659 is 1/8181173
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 847,9659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,9659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,9659) x common factors =1 x 1 = 1
LCM(847,9659) = ( 847 × 9659 ) / 1
LCM(847,9659) = 8181173 / 1
LCM(847,9659) = 8181173
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 4396/847, 5753/9659?
Answer: GCF of Numerators as per given numbers 4396/847, 5753/9659 is
GCF of Numerators i.e. for 4396,5753 is 1
LCM of denominators i.e. for 847,9659 is 8181173.
Thus, GCF of Fractions is 1/8181173.Finally, GCF of Fractions for 4396/847, 5753/9659 is 1/8181173.