Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6695/54,6629/229
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 6695,6629
Greatest Common Factor of Numerators i.e. GCF of 6695,6629 is 1 .
LCM of Denominators means LCM of 54,229 as per the given fractions.
LCM of 54,229 is 12366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6695,6629
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6695
List of positive integer factors of 6695 that divides 6695 without a remainder.
1,5,13,65,103,515,1339,6695
Factors of 6629
List of positive integer factors of 6629 that divides 6629 without a remainder.
1,7,947,6629
Greatest Common Factor
We found the factors 6695,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 6695,6629 is 1.
Lets's calculate LCM of 54,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 12366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12366
Therefore, the GCF of Fractions 6695/54,6629/229 is 1/12366
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 54,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,229) x common factors =1 x 1 = 1
LCM(54,229) = ( 54 × 229 ) / 1
LCM(54,229) = 12366 / 1
LCM(54,229) = 12366
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 6695/54, 6629/229?
Answer: GCF of Numerators as per given numbers 6695/54, 6629/229 is
GCF of Numerators i.e. for 6695,6629 is 1
LCM of denominators i.e. for 54,229 is 12366.
Thus, GCF of Fractions is 1/12366.Finally, GCF of Fractions for 6695/54, 6629/229 is 1/12366.