Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6107/62,4717/375
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 6107,4717
Greatest Common Factor of Numerators i.e. GCF of 6107,4717 is 1 .
LCM of Denominators means LCM of 62,375 as per the given fractions.
LCM of 62,375 is 23250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6107,4717
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6107
List of positive integer factors of 6107 that divides 6107 without a remainder.
1,31,197,6107
Factors of 4717
List of positive integer factors of 4717 that divides 4717 without a remainder.
1,53,89,4717
Greatest Common Factor
We found the factors 6107,4717 . The biggest common factor number is the GCF number.
So the greatest common factor 6107,4717 is 1.
Lets's calculate LCM of 62,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 23250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23250
Therefore, the GCF of Fractions 6107/62,4717/375 is 1/23250
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 62,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,375) x common factors =1 x 1 = 1
LCM(62,375) = ( 62 × 375 ) / 1
LCM(62,375) = 23250 / 1
LCM(62,375) = 23250
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 6107/62, 4717/375?
Answer: GCF of Numerators as per given numbers 6107/62, 4717/375 is
GCF of Numerators i.e. for 6107,4717 is 1
LCM of denominators i.e. for 62,375 is 23250.
Thus, GCF of Fractions is 1/23250.Finally, GCF of Fractions for 6107/62, 4717/375 is 1/23250.