Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 991/664,2639/804
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 991,2639
Greatest Common Factor of Numerators i.e. GCF of 991,2639 is 1 .
LCM of Denominators means LCM of 664,804 as per the given fractions.
LCM of 664,804 is 133464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 991,2639
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 2639
List of positive integer factors of 2639 that divides 2639 without a remainder.
1,7,13,29,91,203,377,2639
Greatest Common Factor
We found the factors 991,2639 . The biggest common factor number is the GCF number.
So the greatest common factor 991,2639 is 1.
Lets's calculate LCM of 664,804
2 | 664, 804 |
2 | 332, 402 |
166, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 166 x 201 = 133464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133464
Therefore, the GCF of Fractions 991/664,2639/804 is 1/133464
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 664,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,804) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(664,804) x common factors =4 x 1 = 4
LCM(664,804) = ( 664 × 804 ) / 4
LCM(664,804) = 533856 / 4
LCM(664,804) = 133464
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 991/664, 2639/804?
Answer: GCF of Numerators as per given numbers 991/664, 2639/804 is
GCF of Numerators i.e. for 991,2639 is 1
LCM of denominators i.e. for 664,804 is 133464.
Thus, GCF of Fractions is 1/133464.Finally, GCF of Fractions for 991/664, 2639/804 is 1/133464.