Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7658/29,6074/809
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 7658,6074
Greatest Common Factor of Numerators i.e. GCF of 7658,6074 is 2 .
LCM of Denominators means LCM of 29,809 as per the given fractions.
LCM of 29,809 is 23461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7658,6074
2 | 7658, 6074 |
3829, 3037 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7658
List of positive integer factors of 7658 that divides 7658 without a remainder.
1,2,7,14,547,1094,3829,7658
Factors of 6074
List of positive integer factors of 6074 that divides 6074 without a remainder.
1,2,3037,6074
Greatest Common Factor
We found the factors 7658,6074 . The biggest common factor number is the GCF number.
So the greatest common factor 7658,6074 is 2.
Lets's calculate LCM of 29,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 23461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23461
Therefore, the GCF of Fractions 7658/29,6074/809 is 2/23461
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 29,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,809) x common factors =1 x 1 = 1
LCM(29,809) = ( 29 × 809 ) / 1
LCM(29,809) = 23461 / 1
LCM(29,809) = 23461
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 7658/29, 6074/809?
Answer: GCF of Numerators as per given numbers 7658/29, 6074/809 is
GCF of Numerators i.e. for 7658,6074 is 2
LCM of denominators i.e. for 29,809 is 23461.
Thus, GCF of Fractions is 2/23461.Finally, GCF of Fractions for 7658/29, 6074/809 is 2/23461.