Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6035/262,6298/579
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 6035,6298
Greatest Common Factor of Numerators i.e. GCF of 6035,6298 is 1 .
LCM of Denominators means LCM of 262,579 as per the given fractions.
LCM of 262,579 is 151698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6035,6298
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6035
List of positive integer factors of 6035 that divides 6035 without a remainder.
1,5,17,71,85,355,1207,6035
Factors of 6298
List of positive integer factors of 6298 that divides 6298 without a remainder.
1,2,47,67,94,134,3149,6298
Greatest Common Factor
We found the factors 6035,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 6035,6298 is 1.
Lets's calculate LCM of 262,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 151698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151698
Therefore, the GCF of Fractions 6035/262,6298/579 is 1/151698
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 262,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,579) x common factors =1 x 1 = 1
LCM(262,579) = ( 262 × 579 ) / 1
LCM(262,579) = 151698 / 1
LCM(262,579) = 151698
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 6035/262, 6298/579?
Answer: GCF of Numerators as per given numbers 6035/262, 6298/579 is
GCF of Numerators i.e. for 6035,6298 is 1
LCM of denominators i.e. for 262,579 is 151698.
Thus, GCF of Fractions is 1/151698.Finally, GCF of Fractions for 6035/262, 6298/579 is 1/151698.