Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6481/87,8891/760
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 6481,8891
Greatest Common Factor of Numerators i.e. GCF of 6481,8891 is 1 .
LCM of Denominators means LCM of 87,760 as per the given fractions.
LCM of 87,760 is 66120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6481,8891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6481
List of positive integer factors of 6481 that divides 6481 without a remainder.
1,6481
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1,17,523,8891
Greatest Common Factor
We found the factors 6481,8891 . The biggest common factor number is the GCF number.
So the greatest common factor 6481,8891 is 1.
Lets's calculate LCM of 87,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 66120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66120
Therefore, the GCF of Fractions 6481/87,8891/760 is 1/66120
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 87,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,760) x common factors =1 x 1 = 1
LCM(87,760) = ( 87 × 760 ) / 1
LCM(87,760) = 66120 / 1
LCM(87,760) = 66120
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 6481/87, 8891/760?
Answer: GCF of Numerators as per given numbers 6481/87, 8891/760 is
GCF of Numerators i.e. for 6481,8891 is 1
LCM of denominators i.e. for 87,760 is 66120.
Thus, GCF of Fractions is 1/66120.Finally, GCF of Fractions for 6481/87, 8891/760 is 1/66120.