Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/20,499/956
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 997,499
Greatest Common Factor of Numerators i.e. GCF of 997,499 is 1 .
LCM of Denominators means LCM of 20,956 as per the given fractions.
LCM of 20,956 is 4780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 997,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 997,499 . The biggest common factor number is the GCF number.
So the greatest common factor 997,499 is 1.
Lets's calculate LCM of 20,956
2 | 20, 956 |
2 | 10, 478 |
5, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 239 = 4780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4780
Therefore, the GCF of Fractions 997/20,499/956 is 1/4780
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 20,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,956) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,956) x common factors =4 x 1 = 4
LCM(20,956) = ( 20 × 956 ) / 4
LCM(20,956) = 19120 / 4
LCM(20,956) = 4780
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 997/20, 499/956?
Answer: GCF of Numerators as per given numbers 997/20, 499/956 is
GCF of Numerators i.e. for 997,499 is 1
LCM of denominators i.e. for 20,956 is 4780.
Thus, GCF of Fractions is 1/4780.Finally, GCF of Fractions for 997/20, 499/956 is 1/4780.