Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6644/801,8291/3123
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 6644,8291
Greatest Common Factor of Numerators i.e. GCF of 6644,8291 is 1 .
LCM of Denominators means LCM of 801,3123 as per the given fractions.
LCM of 801,3123 is 277947 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6644,8291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6644
List of positive integer factors of 6644 that divides 6644 without a remainder.
1,2,4,11,22,44,151,302,604,1661,3322,6644
Factors of 8291
List of positive integer factors of 8291 that divides 8291 without a remainder.
1,8291
Greatest Common Factor
We found the factors 6644,8291 . The biggest common factor number is the GCF number.
So the greatest common factor 6644,8291 is 1.
Lets's calculate LCM of 801,3123
3 | 801, 3123 |
3 | 267, 1041 |
89, 347 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 347 = 277947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277947
Therefore, the GCF of Fractions 6644/801,8291/3123 is 1/277947
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 801,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,3123) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(801,3123) x common factors =9 x 1 = 9
LCM(801,3123) = ( 801 × 3123 ) / 9
LCM(801,3123) = 2501523 / 9
LCM(801,3123) = 277947
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 6644/801, 8291/3123?
Answer: GCF of Numerators as per given numbers 6644/801, 8291/3123 is
GCF of Numerators i.e. for 6644,8291 is 1
LCM of denominators i.e. for 801,3123 is 277947.
Thus, GCF of Fractions is 1/277947.Finally, GCF of Fractions for 6644/801, 8291/3123 is 1/277947.