Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/273,5249/440
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 955,5249
Greatest Common Factor of Numerators i.e. GCF of 955,5249 is 1 .
LCM of Denominators means LCM of 273,440 as per the given fractions.
LCM of 273,440 is 120120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,5249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 5249
List of positive integer factors of 5249 that divides 5249 without a remainder.
1,29,181,5249
Greatest Common Factor
We found the factors 955,5249 . The biggest common factor number is the GCF number.
So the greatest common factor 955,5249 is 1.
Lets's calculate LCM of 273,440
Given numbers has no common factors except 1. So, there LCM is their product i.e 120120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120120
Therefore, the GCF of Fractions 955/273,5249/440 is 1/120120
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 273,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,440) x common factors =1 x 1 = 1
LCM(273,440) = ( 273 × 440 ) / 1
LCM(273,440) = 120120 / 1
LCM(273,440) = 120120
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 955/273, 5249/440?
Answer: GCF of Numerators as per given numbers 955/273, 5249/440 is
GCF of Numerators i.e. for 955,5249 is 1
LCM of denominators i.e. for 273,440 is 120120.
Thus, GCF of Fractions is 1/120120.Finally, GCF of Fractions for 955/273, 5249/440 is 1/120120.