Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6119/24,4024/463
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 6119,4024
Greatest Common Factor of Numerators i.e. GCF of 6119,4024 is 1 .
LCM of Denominators means LCM of 24,463 as per the given fractions.
LCM of 24,463 is 11112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6119,4024
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6119
List of positive integer factors of 6119 that divides 6119 without a remainder.
1,29,211,6119
Factors of 4024
List of positive integer factors of 4024 that divides 4024 without a remainder.
1,2,4,8,503,1006,2012,4024
Greatest Common Factor
We found the factors 6119,4024 . The biggest common factor number is the GCF number.
So the greatest common factor 6119,4024 is 1.
Lets's calculate LCM of 24,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 11112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11112
Therefore, the GCF of Fractions 6119/24,4024/463 is 1/11112
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 24,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,463) x common factors =1 x 1 = 1
LCM(24,463) = ( 24 × 463 ) / 1
LCM(24,463) = 11112 / 1
LCM(24,463) = 11112
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 6119/24, 4024/463?
Answer: GCF of Numerators as per given numbers 6119/24, 4024/463 is
GCF of Numerators i.e. for 6119,4024 is 1
LCM of denominators i.e. for 24,463 is 11112.
Thus, GCF of Fractions is 1/11112.Finally, GCF of Fractions for 6119/24, 4024/463 is 1/11112.