Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4159/596,3127/2668
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 4159,3127
Greatest Common Factor of Numerators i.e. GCF of 4159,3127 is 1 .
LCM of Denominators means LCM of 596,2668 as per the given fractions.
LCM of 596,2668 is 397532 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4159,3127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4159
List of positive integer factors of 4159 that divides 4159 without a remainder.
1,4159
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1,53,59,3127
Greatest Common Factor
We found the factors 4159,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 4159,3127 is 1.
Lets's calculate LCM of 596,2668
2 | 596, 2668 |
2 | 298, 1334 |
149, 667 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 667 = 397532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397532
Therefore, the GCF of Fractions 4159/596,3127/2668 is 1/397532
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 596,2668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,2668) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,2668) x common factors =4 x 1 = 4
LCM(596,2668) = ( 596 × 2668 ) / 4
LCM(596,2668) = 1590128 / 4
LCM(596,2668) = 397532
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 4159/596, 3127/2668?
Answer: GCF of Numerators as per given numbers 4159/596, 3127/2668 is
GCF of Numerators i.e. for 4159,3127 is 1
LCM of denominators i.e. for 596,2668 is 397532.
Thus, GCF of Fractions is 1/397532.Finally, GCF of Fractions for 4159/596, 3127/2668 is 1/397532.