Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6477/726,6340/6293
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 6477,6340
Greatest Common Factor of Numerators i.e. GCF of 6477,6340 is 1 .
LCM of Denominators means LCM of 726,6293 as per the given fractions.
LCM of 726,6293 is 4568718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6477,6340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6477
List of positive integer factors of 6477 that divides 6477 without a remainder.
1,3,17,51,127,381,2159,6477
Factors of 6340
List of positive integer factors of 6340 that divides 6340 without a remainder.
1,2,4,5,10,20,317,634,1268,1585,3170,6340
Greatest Common Factor
We found the factors 6477,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 6477,6340 is 1.
Lets's calculate LCM of 726,6293
Given numbers has no common factors except 1. So, there LCM is their product i.e 4568718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4568718
Therefore, the GCF of Fractions 6477/726,6340/6293 is 1/4568718
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 726,6293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,6293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(726,6293) x common factors =1 x 1 = 1
LCM(726,6293) = ( 726 × 6293 ) / 1
LCM(726,6293) = 4568718 / 1
LCM(726,6293) = 4568718
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 6477/726, 6340/6293?
Answer: GCF of Numerators as per given numbers 6477/726, 6340/6293 is
GCF of Numerators i.e. for 6477,6340 is 1
LCM of denominators i.e. for 726,6293 is 4568718.
Thus, GCF of Fractions is 1/4568718.Finally, GCF of Fractions for 6477/726, 6340/6293 is 1/4568718.