Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4594/247,3010/6927
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 4594,3010
Greatest Common Factor of Numerators i.e. GCF of 4594,3010 is 2 .
LCM of Denominators means LCM of 247,6927 as per the given fractions.
LCM of 247,6927 is 1710969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4594,3010
2 | 4594, 3010 |
2297, 1505 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4594
List of positive integer factors of 4594 that divides 4594 without a remainder.
1,2,2297,4594
Factors of 3010
List of positive integer factors of 3010 that divides 3010 without a remainder.
1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010
Greatest Common Factor
We found the factors 4594,3010 . The biggest common factor number is the GCF number.
So the greatest common factor 4594,3010 is 2.
Lets's calculate LCM of 247,6927
Given numbers has no common factors except 1. So, there LCM is their product i.e 1710969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1710969
Therefore, the GCF of Fractions 4594/247,3010/6927 is 2/1710969
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 247,6927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,6927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,6927) x common factors =1 x 1 = 1
LCM(247,6927) = ( 247 × 6927 ) / 1
LCM(247,6927) = 1710969 / 1
LCM(247,6927) = 1710969
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 4594/247, 3010/6927?
Answer: GCF of Numerators as per given numbers 4594/247, 3010/6927 is
GCF of Numerators i.e. for 4594,3010 is 2
LCM of denominators i.e. for 247,6927 is 1710969.
Thus, GCF of Fractions is 2/1710969.Finally, GCF of Fractions for 4594/247, 3010/6927 is 2/1710969.