Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6098/29,8044/234
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 6098,8044
Greatest Common Factor of Numerators i.e. GCF of 6098,8044 is 2 .
LCM of Denominators means LCM of 29,234 as per the given fractions.
LCM of 29,234 is 6786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6098,8044
2 | 6098, 8044 |
3049, 4022 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6098
List of positive integer factors of 6098 that divides 6098 without a remainder.
1,2,3049,6098
Factors of 8044
List of positive integer factors of 8044 that divides 8044 without a remainder.
1,2,4,2011,4022,8044
Greatest Common Factor
We found the factors 6098,8044 . The biggest common factor number is the GCF number.
So the greatest common factor 6098,8044 is 2.
Lets's calculate LCM of 29,234
Given numbers has no common factors except 1. So, there LCM is their product i.e 6786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6786
Therefore, the GCF of Fractions 6098/29,8044/234 is 2/6786
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 29,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,234) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,234) x common factors =1 x 1 = 1
LCM(29,234) = ( 29 × 234 ) / 1
LCM(29,234) = 6786 / 1
LCM(29,234) = 6786
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 6098/29, 8044/234?
Answer: GCF of Numerators as per given numbers 6098/29, 8044/234 is
GCF of Numerators i.e. for 6098,8044 is 2
LCM of denominators i.e. for 29,234 is 6786.
Thus, GCF of Fractions is 2/6786.Finally, GCF of Fractions for 6098/29, 8044/234 is 2/6786.