Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2543/866,4340/464
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 2543,4340
Greatest Common Factor of Numerators i.e. GCF of 2543,4340 is 1 .
LCM of Denominators means LCM of 866,464 as per the given fractions.
LCM of 866,464 is 200912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2543,4340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2543
List of positive integer factors of 2543 that divides 2543 without a remainder.
1,2543
Factors of 4340
List of positive integer factors of 4340 that divides 4340 without a remainder.
1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Greatest Common Factor
We found the factors 2543,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 2543,4340 is 1.
Lets's calculate LCM of 866,464
2 | 866, 464 |
433, 232 |
∴ So the LCM of the given numbers is 2 x 433 x 232 = 200912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200912
Therefore, the GCF of Fractions 2543/866,4340/464 is 1/200912
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 866,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,464) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,464) x common factors =2 x 1 = 2
LCM(866,464) = ( 866 × 464 ) / 2
LCM(866,464) = 401824 / 2
LCM(866,464) = 200912
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 2543/866, 4340/464?
Answer: GCF of Numerators as per given numbers 2543/866, 4340/464 is
GCF of Numerators i.e. for 2543,4340 is 1
LCM of denominators i.e. for 866,464 is 200912.
Thus, GCF of Fractions is 1/200912.Finally, GCF of Fractions for 2543/866, 4340/464 is 1/200912.