Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6320/566,3859/4179
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 6320,3859
Greatest Common Factor of Numerators i.e. GCF of 6320,3859 is 1 .
LCM of Denominators means LCM of 566,4179 as per the given fractions.
LCM of 566,4179 is 2365314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6320,3859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6320
List of positive integer factors of 6320 that divides 6320 without a remainder.
1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320
Factors of 3859
List of positive integer factors of 3859 that divides 3859 without a remainder.
1,17,227,3859
Greatest Common Factor
We found the factors 6320,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 6320,3859 is 1.
Lets's calculate LCM of 566,4179
Given numbers has no common factors except 1. So, there LCM is their product i.e 2365314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2365314
Therefore, the GCF of Fractions 6320/566,3859/4179 is 1/2365314
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 566,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,4179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,4179) x common factors =1 x 1 = 1
LCM(566,4179) = ( 566 × 4179 ) / 1
LCM(566,4179) = 2365314 / 1
LCM(566,4179) = 2365314
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 6320/566, 3859/4179?
Answer: GCF of Numerators as per given numbers 6320/566, 3859/4179 is
GCF of Numerators i.e. for 6320,3859 is 1
LCM of denominators i.e. for 566,4179 is 2365314.
Thus, GCF of Fractions is 1/2365314.Finally, GCF of Fractions for 6320/566, 3859/4179 is 1/2365314.