Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4767/250,6320/8729
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 4767,6320
Greatest Common Factor of Numerators i.e. GCF of 4767,6320 is 1 .
LCM of Denominators means LCM of 250,8729 as per the given fractions.
LCM of 250,8729 is 2182250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4767,6320
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4767
List of positive integer factors of 4767 that divides 4767 without a remainder.
1,3,7,21,227,681,1589,4767
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
Greatest Common Factor
We found the factors 4767,6320 . The biggest common factor number is the GCF number.
So the greatest common factor 4767,6320 is 1.
Lets's calculate LCM of 250,8729
Given numbers has no common factors except 1. So, there LCM is their product i.e 2182250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2182250
Therefore, the GCF of Fractions 4767/250,6320/8729 is 1/2182250
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 250,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,8729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,8729) x common factors =1 x 1 = 1
LCM(250,8729) = ( 250 × 8729 ) / 1
LCM(250,8729) = 2182250 / 1
LCM(250,8729) = 2182250
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 4767/250, 6320/8729?
Answer: GCF of Numerators as per given numbers 4767/250, 6320/8729 is
GCF of Numerators i.e. for 4767,6320 is 1
LCM of denominators i.e. for 250,8729 is 2182250.
Thus, GCF of Fractions is 1/2182250.Finally, GCF of Fractions for 4767/250, 6320/8729 is 1/2182250.