Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/897,4995/5617
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 254,4995
Greatest Common Factor of Numerators i.e. GCF of 254,4995 is 1 .
LCM of Denominators means LCM of 897,5617 as per the given fractions.
LCM of 897,5617 is 5038449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,4995
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 4995
List of positive integer factors of 4995 that divides 4995 without a remainder.
1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995
Greatest Common Factor
We found the factors 254,4995 . The biggest common factor number is the GCF number.
So the greatest common factor 254,4995 is 1.
Lets's calculate LCM of 897,5617
Given numbers has no common factors except 1. So, there LCM is their product i.e 5038449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5038449
Therefore, the GCF of Fractions 254/897,4995/5617 is 1/5038449
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 897,5617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,5617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,5617) x common factors =1 x 1 = 1
LCM(897,5617) = ( 897 × 5617 ) / 1
LCM(897,5617) = 5038449 / 1
LCM(897,5617) = 5038449
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 254/897, 4995/5617?
Answer: GCF of Numerators as per given numbers 254/897, 4995/5617 is
GCF of Numerators i.e. for 254,4995 is 1
LCM of denominators i.e. for 897,5617 is 5038449.
Thus, GCF of Fractions is 1/5038449.Finally, GCF of Fractions for 254/897, 4995/5617 is 1/5038449.