Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5839/955,4103/6307
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 5839,4103
Greatest Common Factor of Numerators i.e. GCF of 5839,4103 is 1 .
LCM of Denominators means LCM of 955,6307 as per the given fractions.
LCM of 955,6307 is 6023185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5839,4103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5839
List of positive integer factors of 5839 that divides 5839 without a remainder.
1,5839
Factors of 4103
List of positive integer factors of 4103 that divides 4103 without a remainder.
1,11,373,4103
Greatest Common Factor
We found the factors 5839,4103 . The biggest common factor number is the GCF number.
So the greatest common factor 5839,4103 is 1.
Lets's calculate LCM of 955,6307
Given numbers has no common factors except 1. So, there LCM is their product i.e 6023185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6023185
Therefore, the GCF of Fractions 5839/955,4103/6307 is 1/6023185
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 955,6307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,6307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,6307) x common factors =1 x 1 = 1
LCM(955,6307) = ( 955 × 6307 ) / 1
LCM(955,6307) = 6023185 / 1
LCM(955,6307) = 6023185
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 5839/955, 4103/6307?
Answer: GCF of Numerators as per given numbers 5839/955, 4103/6307 is
GCF of Numerators i.e. for 5839,4103 is 1
LCM of denominators i.e. for 955,6307 is 6023185.
Thus, GCF of Fractions is 1/6023185.Finally, GCF of Fractions for 5839/955, 4103/6307 is 1/6023185.