Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1550/741,3727/4423
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 1550,3727
Greatest Common Factor of Numerators i.e. GCF of 1550,3727 is 1 .
LCM of Denominators means LCM of 741,4423 as per the given fractions.
LCM of 741,4423 is 3277443 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1550,3727
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1550
List of positive integer factors of 1550 that divides 1550 without a remainder.
1,2,5,10,25,31,50,62,155,310,775,1550
Factors of 3727
List of positive integer factors of 3727 that divides 3727 without a remainder.
1,3727
Greatest Common Factor
We found the factors 1550,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 1550,3727 is 1.
Lets's calculate LCM of 741,4423
Given numbers has no common factors except 1. So, there LCM is their product i.e 3277443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3277443
Therefore, the GCF of Fractions 1550/741,3727/4423 is 1/3277443
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 741,4423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,4423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,4423) x common factors =1 x 1 = 1
LCM(741,4423) = ( 741 × 4423 ) / 1
LCM(741,4423) = 3277443 / 1
LCM(741,4423) = 3277443
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 1550/741, 3727/4423?
Answer: GCF of Numerators as per given numbers 1550/741, 3727/4423 is
GCF of Numerators i.e. for 1550,3727 is 1
LCM of denominators i.e. for 741,4423 is 3277443.
Thus, GCF of Fractions is 1/3277443.Finally, GCF of Fractions for 1550/741, 3727/4423 is 1/3277443.