Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7463/481,7782/4882
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 7463,7782
Greatest Common Factor of Numerators i.e. GCF of 7463,7782 is 1 .
LCM of Denominators means LCM of 481,4882 as per the given fractions.
LCM of 481,4882 is 2348242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7463,7782
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7463
List of positive integer factors of 7463 that divides 7463 without a remainder.
1,17,439,7463
Factors of 7782
List of positive integer factors of 7782 that divides 7782 without a remainder.
1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 7463,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 7463,7782 is 1.
Lets's calculate LCM of 481,4882
Given numbers has no common factors except 1. So, there LCM is their product i.e 2348242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2348242
Therefore, the GCF of Fractions 7463/481,7782/4882 is 1/2348242
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 481,4882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,4882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,4882) x common factors =1 x 1 = 1
LCM(481,4882) = ( 481 × 4882 ) / 1
LCM(481,4882) = 2348242 / 1
LCM(481,4882) = 2348242
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 7463/481, 7782/4882?
Answer: GCF of Numerators as per given numbers 7463/481, 7782/4882 is
GCF of Numerators i.e. for 7463,7782 is 1
LCM of denominators i.e. for 481,4882 is 2348242.
Thus, GCF of Fractions is 1/2348242.Finally, GCF of Fractions for 7463/481, 7782/4882 is 1/2348242.