Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2637/958,1468/2110
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 2637,1468
Greatest Common Factor of Numerators i.e. GCF of 2637,1468 is 1 .
LCM of Denominators means LCM of 958,2110 as per the given fractions.
LCM of 958,2110 is 1010690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2637,1468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2637
List of positive integer factors of 2637 that divides 2637 without a remainder.
1,3,9,293,879,2637
Factors of 1468
List of positive integer factors of 1468 that divides 1468 without a remainder.
1,2,4,367,734,1468
Greatest Common Factor
We found the factors 2637,1468 . The biggest common factor number is the GCF number.
So the greatest common factor 2637,1468 is 1.
Lets's calculate LCM of 958,2110
2 | 958, 2110 |
479, 1055 |
∴ So the LCM of the given numbers is 2 x 479 x 1055 = 1010690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010690
Therefore, the GCF of Fractions 2637/958,1468/2110 is 1/1010690
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 958,2110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,2110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,2110) x common factors =2 x 1 = 2
LCM(958,2110) = ( 958 × 2110 ) / 2
LCM(958,2110) = 2021380 / 2
LCM(958,2110) = 1010690
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 2637/958, 1468/2110?
Answer: GCF of Numerators as per given numbers 2637/958, 1468/2110 is
GCF of Numerators i.e. for 2637,1468 is 1
LCM of denominators i.e. for 958,2110 is 1010690.
Thus, GCF of Fractions is 1/1010690.Finally, GCF of Fractions for 2637/958, 1468/2110 is 1/1010690.