Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/59,266/2258
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 411,266
Greatest Common Factor of Numerators i.e. GCF of 411,266 is 1 .
LCM of Denominators means LCM of 59,2258 as per the given fractions.
LCM of 59,2258 is 133222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 411,266 . The biggest common factor number is the GCF number.
So the greatest common factor 411,266 is 1.
Lets's calculate LCM of 59,2258
Given numbers has no common factors except 1. So, there LCM is their product i.e 133222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133222
Therefore, the GCF of Fractions 411/59,266/2258 is 1/133222
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 59,2258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,2258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,2258) x common factors =1 x 1 = 1
LCM(59,2258) = ( 59 × 2258 ) / 1
LCM(59,2258) = 133222 / 1
LCM(59,2258) = 133222
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 411/59, 266/2258?
Answer: GCF of Numerators as per given numbers 411/59, 266/2258 is
GCF of Numerators i.e. for 411,266 is 1
LCM of denominators i.e. for 59,2258 is 133222.
Thus, GCF of Fractions is 1/133222.Finally, GCF of Fractions for 411/59, 266/2258 is 1/133222.