Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5699/14,1589/610
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 5699,1589
Greatest Common Factor of Numerators i.e. GCF of 5699,1589 is 1 .
LCM of Denominators means LCM of 14,610 as per the given fractions.
LCM of 14,610 is 4270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5699,1589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5699
List of positive integer factors of 5699 that divides 5699 without a remainder.
1,41,139,5699
Factors of 1589
List of positive integer factors of 1589 that divides 1589 without a remainder.
1,7,227,1589
Greatest Common Factor
We found the factors 5699,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 5699,1589 is 1.
Lets's calculate LCM of 14,610
2 | 14, 610 |
7, 305 |
∴ So the LCM of the given numbers is 2 x 7 x 305 = 4270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4270
Therefore, the GCF of Fractions 5699/14,1589/610 is 1/4270
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 14,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,610) x common factors =2 x 1 = 2
LCM(14,610) = ( 14 × 610 ) / 2
LCM(14,610) = 8540 / 2
LCM(14,610) = 4270
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 5699/14, 1589/610?
Answer: GCF of Numerators as per given numbers 5699/14, 1589/610 is
GCF of Numerators i.e. for 5699,1589 is 1
LCM of denominators i.e. for 14,610 is 4270.
Thus, GCF of Fractions is 1/4270.Finally, GCF of Fractions for 5699/14, 1589/610 is 1/4270.