Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/214,903/488
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 631,903
Greatest Common Factor of Numerators i.e. GCF of 631,903 is 1 .
LCM of Denominators means LCM of 214,488 as per the given fractions.
LCM of 214,488 is 52216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 631,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 631,903 . The biggest common factor number is the GCF number.
So the greatest common factor 631,903 is 1.
Lets's calculate LCM of 214,488
2 | 214, 488 |
107, 244 |
∴ So the LCM of the given numbers is 2 x 107 x 244 = 52216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52216
Therefore, the GCF of Fractions 631/214,903/488 is 1/52216
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 214,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,488) x common factors =2 x 1 = 2
LCM(214,488) = ( 214 × 488 ) / 2
LCM(214,488) = 104432 / 2
LCM(214,488) = 52216
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 631/214, 903/488?
Answer: GCF of Numerators as per given numbers 631/214, 903/488 is
GCF of Numerators i.e. for 631,903 is 1
LCM of denominators i.e. for 214,488 is 52216.
Thus, GCF of Fractions is 1/52216.Finally, GCF of Fractions for 631/214, 903/488 is 1/52216.