Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4910/875,2133/3092
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 4910,2133
Greatest Common Factor of Numerators i.e. GCF of 4910,2133 is 1 .
LCM of Denominators means LCM of 875,3092 as per the given fractions.
LCM of 875,3092 is 2705500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4910,2133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4910
List of positive integer factors of 4910 that divides 4910 without a remainder.
1,2,5,10,491,982,2455,4910
Factors of 2133
List of positive integer factors of 2133 that divides 2133 without a remainder.
1,3,9,27,79,237,711,2133
Greatest Common Factor
We found the factors 4910,2133 . The biggest common factor number is the GCF number.
So the greatest common factor 4910,2133 is 1.
Lets's calculate LCM of 875,3092
Given numbers has no common factors except 1. So, there LCM is their product i.e 2705500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2705500
Therefore, the GCF of Fractions 4910/875,2133/3092 is 1/2705500
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 875,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,3092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,3092) x common factors =1 x 1 = 1
LCM(875,3092) = ( 875 × 3092 ) / 1
LCM(875,3092) = 2705500 / 1
LCM(875,3092) = 2705500
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 4910/875, 2133/3092?
Answer: GCF of Numerators as per given numbers 4910/875, 2133/3092 is
GCF of Numerators i.e. for 4910,2133 is 1
LCM of denominators i.e. for 875,3092 is 2705500.
Thus, GCF of Fractions is 1/2705500.Finally, GCF of Fractions for 4910/875, 2133/3092 is 1/2705500.