Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/43,113/27,521/50
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 254,113,521
Greatest Common Factor of Numerators i.e. GCF of 254,113,521 is 1 .
LCM of Denominators means LCM of 43,27,50 as per the given fractions.
LCM of 43,27,50 is 58050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,113,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 254,113,521 . The biggest common factor number is the GCF number.
So the greatest common factor 254,113,521 is 1.
Lets's calculate LCM of 43,27,50
Given numbers has no common factors except 1. So, there LCM is their product i.e 58050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58050
Therefore, the GCF of Fractions 254/43,113/27,521/50 is 1/58050
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 43,27,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,27,50) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,27,50) x common factors =1 x 1 = 1
LCM(43,27,50) = ( 43 × 27 × 50 ) / 1
LCM(43,27,50) = 58050 / 1
LCM(43,27,50) = 58050
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 254/43, 113/27, 521/50?
Answer: GCF of Numerators as per given numbers 254/43, 113/27, 521/50 is
GCF of Numerators i.e. for 254,113,521 is 1
LCM of denominators i.e. for 43,27,50 is 58050.
Thus, GCF of Fractions is 1/58050.Finally, GCF of Fractions for 254/43, 113/27, 521/50 is 1/58050.