Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/50,291/4276
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 543,291
Greatest Common Factor of Numerators i.e. GCF of 543,291 is 3 .
LCM of Denominators means LCM of 50,4276 as per the given fractions.
LCM of 50,4276 is 106900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 543,291
3 | 543, 291 |
181, 97 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 543,291 . The biggest common factor number is the GCF number.
So the greatest common factor 543,291 is 3.
Lets's calculate LCM of 50,4276
2 | 50, 4276 |
25, 2138 |
∴ So the LCM of the given numbers is 2 x 25 x 2138 = 106900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/106900
Therefore, the GCF of Fractions 543/50,291/4276 is 3/106900
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 50,4276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,4276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,4276) x common factors =2 x 1 = 2
LCM(50,4276) = ( 50 × 4276 ) / 2
LCM(50,4276) = 213800 / 2
LCM(50,4276) = 106900
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 543/50, 291/4276?
Answer: GCF of Numerators as per given numbers 543/50, 291/4276 is
GCF of Numerators i.e. for 543,291 is 3
LCM of denominators i.e. for 50,4276 is 106900.
Thus, GCF of Fractions is 3/106900.Finally, GCF of Fractions for 543/50, 291/4276 is 3/106900.