Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/212,3683/7682
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 621,3683
Greatest Common Factor of Numerators i.e. GCF of 621,3683 is 1 .
LCM of Denominators means LCM of 212,7682 as per the given fractions.
LCM of 212,7682 is 814292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 621,3683
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 3683
List of positive integer factors of 3683 that divides 3683 without a remainder.
1,29,127,3683
Greatest Common Factor
We found the factors 621,3683 . The biggest common factor number is the GCF number.
So the greatest common factor 621,3683 is 1.
Lets's calculate LCM of 212,7682
2 | 212, 7682 |
106, 3841 |
∴ So the LCM of the given numbers is 2 x 106 x 3841 = 814292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814292
Therefore, the GCF of Fractions 621/212,3683/7682 is 1/814292
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 212,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,7682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(212,7682) x common factors =2 x 1 = 2
LCM(212,7682) = ( 212 × 7682 ) / 2
LCM(212,7682) = 1628584 / 2
LCM(212,7682) = 814292
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 621/212, 3683/7682?
Answer: GCF of Numerators as per given numbers 621/212, 3683/7682 is
GCF of Numerators i.e. for 621,3683 is 1
LCM of denominators i.e. for 212,7682 is 814292.
Thus, GCF of Fractions is 1/814292.Finally, GCF of Fractions for 621/212, 3683/7682 is 1/814292.