Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/29,407/6413
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 611,407
Greatest Common Factor of Numerators i.e. GCF of 611,407 is 1 .
LCM of Denominators means LCM of 29,6413 as per the given fractions.
LCM of 29,6413 is 185977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Greatest Common Factor
We found the factors 611,407 . The biggest common factor number is the GCF number.
So the greatest common factor 611,407 is 1.
Lets's calculate LCM of 29,6413
Given numbers has no common factors except 1. So, there LCM is their product i.e 185977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185977
Therefore, the GCF of Fractions 611/29,407/6413 is 1/185977
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 29,6413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,6413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,6413) x common factors =1 x 1 = 1
LCM(29,6413) = ( 29 × 6413 ) / 1
LCM(29,6413) = 185977 / 1
LCM(29,6413) = 185977
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 611/29, 407/6413?
Answer: GCF of Numerators as per given numbers 611/29, 407/6413 is
GCF of Numerators i.e. for 611,407 is 1
LCM of denominators i.e. for 29,6413 is 185977.
Thus, GCF of Fractions is 1/185977.Finally, GCF of Fractions for 611/29, 407/6413 is 1/185977.