Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6065/48,2792/599
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 6065,2792
Greatest Common Factor of Numerators i.e. GCF of 6065,2792 is 1 .
LCM of Denominators means LCM of 48,599 as per the given fractions.
LCM of 48,599 is 28752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6065,2792
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6065
List of positive integer factors of 6065 that divides 6065 without a remainder.
1,5,1213,6065
Factors of 2792
List of positive integer factors of 2792 that divides 2792 without a remainder.
1,2,4,8,349,698,1396,2792
Greatest Common Factor
We found the factors 6065,2792 . The biggest common factor number is the GCF number.
So the greatest common factor 6065,2792 is 1.
Lets's calculate LCM of 48,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 28752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28752
Therefore, the GCF of Fractions 6065/48,2792/599 is 1/28752
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 48,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,599) x common factors =1 x 1 = 1
LCM(48,599) = ( 48 × 599 ) / 1
LCM(48,599) = 28752 / 1
LCM(48,599) = 28752
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 6065/48, 2792/599?
Answer: GCF of Numerators as per given numbers 6065/48, 2792/599 is
GCF of Numerators i.e. for 6065,2792 is 1
LCM of denominators i.e. for 48,599 is 28752.
Thus, GCF of Fractions is 1/28752.Finally, GCF of Fractions for 6065/48, 2792/599 is 1/28752.