Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9463/724,3776/5453
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 9463,3776
Greatest Common Factor of Numerators i.e. GCF of 9463,3776 is 1 .
LCM of Denominators means LCM of 724,5453 as per the given fractions.
LCM of 724,5453 is 3947972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9463,3776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9463
List of positive integer factors of 9463 that divides 9463 without a remainder.
1,9463
Factors of 3776
List of positive integer factors of 3776 that divides 3776 without a remainder.
1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Greatest Common Factor
We found the factors 9463,3776 . The biggest common factor number is the GCF number.
So the greatest common factor 9463,3776 is 1.
Lets's calculate LCM of 724,5453
Given numbers has no common factors except 1. So, there LCM is their product i.e 3947972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3947972
Therefore, the GCF of Fractions 9463/724,3776/5453 is 1/3947972
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 724,5453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,5453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,5453) x common factors =1 x 1 = 1
LCM(724,5453) = ( 724 × 5453 ) / 1
LCM(724,5453) = 3947972 / 1
LCM(724,5453) = 3947972
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 9463/724, 3776/5453?
Answer: GCF of Numerators as per given numbers 9463/724, 3776/5453 is
GCF of Numerators i.e. for 9463,3776 is 1
LCM of denominators i.e. for 724,5453 is 3947972.
Thus, GCF of Fractions is 1/3947972.Finally, GCF of Fractions for 9463/724, 3776/5453 is 1/3947972.