Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4194/864,6547/350
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 4194,6547
Greatest Common Factor of Numerators i.e. GCF of 4194,6547 is 1 .
LCM of Denominators means LCM of 864,350 as per the given fractions.
LCM of 864,350 is 151200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4194,6547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4194
List of positive integer factors of 4194 that divides 4194 without a remainder.
1,2,3,6,9,18,233,466,699,1398,2097,4194
Factors of 6547
List of positive integer factors of 6547 that divides 6547 without a remainder.
1,6547
Greatest Common Factor
We found the factors 4194,6547 . The biggest common factor number is the GCF number.
So the greatest common factor 4194,6547 is 1.
Lets's calculate LCM of 864,350
2 | 864, 350 |
432, 175 |
∴ So the LCM of the given numbers is 2 x 432 x 175 = 151200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151200
Therefore, the GCF of Fractions 4194/864,6547/350 is 1/151200
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 864,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(864,350) x common factors =2 x 1 = 2
LCM(864,350) = ( 864 × 350 ) / 2
LCM(864,350) = 302400 / 2
LCM(864,350) = 151200
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 4194/864, 6547/350?
Answer: GCF of Numerators as per given numbers 4194/864, 6547/350 is
GCF of Numerators i.e. for 4194,6547 is 1
LCM of denominators i.e. for 864,350 is 151200.
Thus, GCF of Fractions is 1/151200.Finally, GCF of Fractions for 4194/864, 6547/350 is 1/151200.