Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3710/474,5788/1961
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 3710,5788
Greatest Common Factor of Numerators i.e. GCF of 3710,5788 is 2 .
LCM of Denominators means LCM of 474,1961 as per the given fractions.
LCM of 474,1961 is 929514 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3710,5788
2 | 3710, 5788 |
1855, 2894 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3710
List of positive integer factors of 3710 that divides 3710 without a remainder.
1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1,2,4,1447,2894,5788
Greatest Common Factor
We found the factors 3710,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 3710,5788 is 2.
Lets's calculate LCM of 474,1961
Given numbers has no common factors except 1. So, there LCM is their product i.e 929514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/929514
Therefore, the GCF of Fractions 3710/474,5788/1961 is 2/929514
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 474,1961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,1961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,1961) x common factors =1 x 1 = 1
LCM(474,1961) = ( 474 × 1961 ) / 1
LCM(474,1961) = 929514 / 1
LCM(474,1961) = 929514
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 3710/474, 5788/1961?
Answer: GCF of Numerators as per given numbers 3710/474, 5788/1961 is
GCF of Numerators i.e. for 3710,5788 is 2
LCM of denominators i.e. for 474,1961 is 929514.
Thus, GCF of Fractions is 2/929514.Finally, GCF of Fractions for 3710/474, 5788/1961 is 2/929514.