Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 667/867,427/543
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 667,427
Greatest Common Factor of Numerators i.e. GCF of 667,427 is 1 .
LCM of Denominators means LCM of 867,543 as per the given fractions.
LCM of 867,543 is 156927 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 667,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 667,427 . The biggest common factor number is the GCF number.
So the greatest common factor 667,427 is 1.
Lets's calculate LCM of 867,543
3 | 867, 543 |
289, 181 |
∴ So the LCM of the given numbers is 3 x 289 x 181 = 156927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156927
Therefore, the GCF of Fractions 667/867,427/543 is 1/156927
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 867,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,543) x common factors =3 x 1 = 3
LCM(867,543) = ( 867 × 543 ) / 3
LCM(867,543) = 470781 / 3
LCM(867,543) = 156927
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 667/867, 427/543?
Answer: GCF of Numerators as per given numbers 667/867, 427/543 is
GCF of Numerators i.e. for 667,427 is 1
LCM of denominators i.e. for 867,543 is 156927.
Thus, GCF of Fractions is 1/156927.Finally, GCF of Fractions for 667/867, 427/543 is 1/156927.