Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 265/83,4468/492
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 265,4468
Greatest Common Factor of Numerators i.e. GCF of 265,4468 is 1 .
LCM of Denominators means LCM of 83,492 as per the given fractions.
LCM of 83,492 is 40836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 265,4468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 4468
List of positive integer factors of 4468 that divides 4468 without a remainder.
1,2,4,1117,2234,4468
Greatest Common Factor
We found the factors 265,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 265,4468 is 1.
Lets's calculate LCM of 83,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 40836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40836
Therefore, the GCF of Fractions 265/83,4468/492 is 1/40836
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 83,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,492) x common factors =1 x 1 = 1
LCM(83,492) = ( 83 × 492 ) / 1
LCM(83,492) = 40836 / 1
LCM(83,492) = 40836
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 265/83, 4468/492?
Answer: GCF of Numerators as per given numbers 265/83, 4468/492 is
GCF of Numerators i.e. for 265,4468 is 1
LCM of denominators i.e. for 83,492 is 40836.
Thus, GCF of Fractions is 1/40836.Finally, GCF of Fractions for 265/83, 4468/492 is 1/40836.