Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4863/889,8953/4843
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 4863,8953
Greatest Common Factor of Numerators i.e. GCF of 4863,8953 is 1 .
LCM of Denominators means LCM of 889,4843 as per the given fractions.
LCM of 889,4843 is 4305427 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4863,8953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4863
List of positive integer factors of 4863 that divides 4863 without a remainder.
1,3,1621,4863
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1,7,1279,8953
Greatest Common Factor
We found the factors 4863,8953 . The biggest common factor number is the GCF number.
So the greatest common factor 4863,8953 is 1.
Lets's calculate LCM of 889,4843
Given numbers has no common factors except 1. So, there LCM is their product i.e 4305427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4305427
Therefore, the GCF of Fractions 4863/889,8953/4843 is 1/4305427
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 889,4843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,4843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,4843) x common factors =1 x 1 = 1
LCM(889,4843) = ( 889 × 4843 ) / 1
LCM(889,4843) = 4305427 / 1
LCM(889,4843) = 4305427
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 4863/889, 8953/4843?
Answer: GCF of Numerators as per given numbers 4863/889, 8953/4843 is
GCF of Numerators i.e. for 4863,8953 is 1
LCM of denominators i.e. for 889,4843 is 4305427.
Thus, GCF of Fractions is 1/4305427.Finally, GCF of Fractions for 4863/889, 8953/4843 is 1/4305427.