Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/65,621/50,655/631
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 68,621,655
Greatest Common Factor of Numerators i.e. GCF of 68,621,655 is 1 .
LCM of Denominators means LCM of 65,50,631 as per the given fractions.
LCM of 65,50,631 is 410150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,621,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
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 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 68,621,655 . The biggest common factor number is the GCF number.
So the greatest common factor 68,621,655 is 1.
Lets's calculate LCM of 65,50,631
5 | 65, 50, 631 |
13, 10, 631 |
∴ So the LCM of the given numbers is 5 x 13 x 10 x 631 = 410150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410150
Therefore, the GCF of Fractions 68/65,621/50,655/631 is 1/410150
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 65,50,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,50,631) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,50,631) x common factors =1 x 5 = 5
LCM(65,50,631) = ( 65 × 50 × 631 ) / 5
LCM(65,50,631) = 2050750 / 5
LCM(65,50,631) = 410150
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 68/65, 621/50, 655/631?
Answer: GCF of Numerators as per given numbers 68/65, 621/50, 655/631 is
GCF of Numerators i.e. for 68,621,655 is 1
LCM of denominators i.e. for 65,50,631 is 410150.
Thus, GCF of Fractions is 1/410150.Finally, GCF of Fractions for 68/65, 621/50, 655/631 is 1/410150.