Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 719/550,3359/1291
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 719,3359
Greatest Common Factor of Numerators i.e. GCF of 719,3359 is 1 .
LCM of Denominators means LCM of 550,1291 as per the given fractions.
LCM of 550,1291 is 710050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 719,3359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 3359
List of positive integer factors of 3359 that divides 3359 without a remainder.
1,3359
Greatest Common Factor
We found the factors 719,3359 . The biggest common factor number is the GCF number.
So the greatest common factor 719,3359 is 1.
Lets's calculate LCM of 550,1291
Given numbers has no common factors except 1. So, there LCM is their product i.e 710050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710050
Therefore, the GCF of Fractions 719/550,3359/1291 is 1/710050
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 550,1291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,1291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(550,1291) x common factors =1 x 1 = 1
LCM(550,1291) = ( 550 × 1291 ) / 1
LCM(550,1291) = 710050 / 1
LCM(550,1291) = 710050
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 719/550, 3359/1291?
Answer: GCF of Numerators as per given numbers 719/550, 3359/1291 is
GCF of Numerators i.e. for 719,3359 is 1
LCM of denominators i.e. for 550,1291 is 710050.
Thus, GCF of Fractions is 1/710050.Finally, GCF of Fractions for 719/550, 3359/1291 is 1/710050.