Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/204,6545/423
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 943,6545
Greatest Common Factor of Numerators i.e. GCF of 943,6545 is 1 .
LCM of Denominators means LCM of 204,423 as per the given fractions.
LCM of 204,423 is 28764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,6545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 6545
List of positive integer factors of 6545 that divides 6545 without a remainder.
1,5,7,11,17,35,55,77,85,119,187,385,595,935,1309,6545
Greatest Common Factor
We found the factors 943,6545 . The biggest common factor number is the GCF number.
So the greatest common factor 943,6545 is 1.
Lets's calculate LCM of 204,423
3 | 204, 423 |
68, 141 |
∴ So the LCM of the given numbers is 3 x 68 x 141 = 28764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28764
Therefore, the GCF of Fractions 943/204,6545/423 is 1/28764
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 204,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,423) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,423) x common factors =3 x 1 = 3
LCM(204,423) = ( 204 × 423 ) / 3
LCM(204,423) = 86292 / 3
LCM(204,423) = 28764
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 943/204, 6545/423?
Answer: GCF of Numerators as per given numbers 943/204, 6545/423 is
GCF of Numerators i.e. for 943,6545 is 1
LCM of denominators i.e. for 204,423 is 28764.
Thus, GCF of Fractions is 1/28764.Finally, GCF of Fractions for 943/204, 6545/423 is 1/28764.