Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5010/248,4679/953
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 5010,4679
Greatest Common Factor of Numerators i.e. GCF of 5010,4679 is 1 .
LCM of Denominators means LCM of 248,953 as per the given fractions.
LCM of 248,953 is 236344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5010,4679
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5010
List of positive integer factors of 5010 that divides 5010 without a remainder.
1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Factors of 4679
List of positive integer factors of 4679 that divides 4679 without a remainder.
1,4679
Greatest Common Factor
We found the factors 5010,4679 . The biggest common factor number is the GCF number.
So the greatest common factor 5010,4679 is 1.
Lets's calculate LCM of 248,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 236344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236344
Therefore, the GCF of Fractions 5010/248,4679/953 is 1/236344
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 248,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,953) x common factors =1 x 1 = 1
LCM(248,953) = ( 248 × 953 ) / 1
LCM(248,953) = 236344 / 1
LCM(248,953) = 236344
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 5010/248, 4679/953?
Answer: GCF of Numerators as per given numbers 5010/248, 4679/953 is
GCF of Numerators i.e. for 5010,4679 is 1
LCM of denominators i.e. for 248,953 is 236344.
Thus, GCF of Fractions is 1/236344.Finally, GCF of Fractions for 5010/248, 4679/953 is 1/236344.