Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9761/106,4379/483
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 9761,4379
Greatest Common Factor of Numerators i.e. GCF of 9761,4379 is 1 .
LCM of Denominators means LCM of 106,483 as per the given fractions.
LCM of 106,483 is 51198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9761,4379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9761
List of positive integer factors of 9761 that divides 9761 without a remainder.
1,43,227,9761
Factors of 4379
List of positive integer factors of 4379 that divides 4379 without a remainder.
1,29,151,4379
Greatest Common Factor
We found the factors 9761,4379 . The biggest common factor number is the GCF number.
So the greatest common factor 9761,4379 is 1.
Lets's calculate LCM of 106,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 51198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51198
Therefore, the GCF of Fractions 9761/106,4379/483 is 1/51198
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 106,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,483) x common factors =1 x 1 = 1
LCM(106,483) = ( 106 × 483 ) / 1
LCM(106,483) = 51198 / 1
LCM(106,483) = 51198
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 9761/106, 4379/483?
Answer: GCF of Numerators as per given numbers 9761/106, 4379/483 is
GCF of Numerators i.e. for 9761,4379 is 1
LCM of denominators i.e. for 106,483 is 51198.
Thus, GCF of Fractions is 1/51198.Finally, GCF of Fractions for 9761/106, 4379/483 is 1/51198.