Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 502/541,424/440,433/609
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 502,424,433
Greatest Common Factor of Numerators i.e. GCF of 502,424,433 is 1 .
LCM of Denominators means LCM of 541,440,609 as per the given fractions.
LCM of 541,440,609 is 144966360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 502,424,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 502,424,433 . The biggest common factor number is the GCF number.
So the greatest common factor 502,424,433 is 1.
Lets's calculate LCM of 541,440,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 144966360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144966360
Therefore, the GCF of Fractions 502/541,424/440,433/609 is 1/144966360
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 541,440,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,440,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,440,609) x common factors =1 x 1 = 1
LCM(541,440,609) = ( 541 × 440 × 609 ) / 1
LCM(541,440,609) = 144966360 / 1
LCM(541,440,609) = 144966360
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 502/541, 424/440, 433/609?
Answer: GCF of Numerators as per given numbers 502/541, 424/440, 433/609 is
GCF of Numerators i.e. for 502,424,433 is 1
LCM of denominators i.e. for 541,440,609 is 144966360.
Thus, GCF of Fractions is 1/144966360.Finally, GCF of Fractions for 502/541, 424/440, 433/609 is 1/144966360.