Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6088/738,4741/6481
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 6088,4741
Greatest Common Factor of Numerators i.e. GCF of 6088,4741 is 1 .
LCM of Denominators means LCM of 738,6481 as per the given fractions.
LCM of 738,6481 is 4782978 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6088,4741
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6088
List of positive integer factors of 6088 that divides 6088 without a remainder.
1,2,4,8,761,1522,3044,6088
Factors of 4741
List of positive integer factors of 4741 that divides 4741 without a remainder.
1,11,431,4741
Greatest Common Factor
We found the factors 6088,4741 . The biggest common factor number is the GCF number.
So the greatest common factor 6088,4741 is 1.
Lets's calculate LCM of 738,6481
Given numbers has no common factors except 1. So, there LCM is their product i.e 4782978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4782978
Therefore, the GCF of Fractions 6088/738,4741/6481 is 1/4782978
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 738,6481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,6481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,6481) x common factors =1 x 1 = 1
LCM(738,6481) = ( 738 × 6481 ) / 1
LCM(738,6481) = 4782978 / 1
LCM(738,6481) = 4782978
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 6088/738, 4741/6481?
Answer: GCF of Numerators as per given numbers 6088/738, 4741/6481 is
GCF of Numerators i.e. for 6088,4741 is 1
LCM of denominators i.e. for 738,6481 is 4782978.
Thus, GCF of Fractions is 1/4782978.Finally, GCF of Fractions for 6088/738, 4741/6481 is 1/4782978.