Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7043/727,4668/873
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 7043,4668
Greatest Common Factor of Numerators i.e. GCF of 7043,4668 is 1 .
LCM of Denominators means LCM of 727,873 as per the given fractions.
LCM of 727,873 is 634671 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7043,4668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7043
List of positive integer factors of 7043 that divides 7043 without a remainder.
1,7043
Factors of 4668
List of positive integer factors of 4668 that divides 4668 without a remainder.
1,2,3,4,6,12,389,778,1167,1556,2334,4668
Greatest Common Factor
We found the factors 7043,4668 . The biggest common factor number is the GCF number.
So the greatest common factor 7043,4668 is 1.
Lets's calculate LCM of 727,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 634671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634671
Therefore, the GCF of Fractions 7043/727,4668/873 is 1/634671
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 727,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,873) x common factors =1 x 1 = 1
LCM(727,873) = ( 727 × 873 ) / 1
LCM(727,873) = 634671 / 1
LCM(727,873) = 634671
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 7043/727, 4668/873?
Answer: GCF of Numerators as per given numbers 7043/727, 4668/873 is
GCF of Numerators i.e. for 7043,4668 is 1
LCM of denominators i.e. for 727,873 is 634671.
Thus, GCF of Fractions is 1/634671.Finally, GCF of Fractions for 7043/727, 4668/873 is 1/634671.