Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5679/66,2814/671
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 5679,2814
Greatest Common Factor of Numerators i.e. GCF of 5679,2814 is 3 .
LCM of Denominators means LCM of 66,671 as per the given fractions.
LCM of 66,671 is 4026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5679,2814
3 | 5679, 2814 |
1893, 938 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5679
List of positive integer factors of 5679 that divides 5679 without a remainder.
1,3,9,631,1893,5679
Factors of 2814
List of positive integer factors of 2814 that divides 2814 without a remainder.
1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814
Greatest Common Factor
We found the factors 5679,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,2814 is 3.
Lets's calculate LCM of 66,671
11 | 66, 671 |
6, 61 |
∴ So the LCM of the given numbers is 11 x 6 x 61 = 4026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4026
Therefore, the GCF of Fractions 5679/66,2814/671 is 3/4026
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 66,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,671) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(66,671) x common factors =11 x 1 = 11
LCM(66,671) = ( 66 × 671 ) / 11
LCM(66,671) = 44286 / 11
LCM(66,671) = 4026
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 5679/66, 2814/671?
Answer: GCF of Numerators as per given numbers 5679/66, 2814/671 is
GCF of Numerators i.e. for 5679,2814 is 3
LCM of denominators i.e. for 66,671 is 4026.
Thus, GCF of Fractions is 3/4026.Finally, GCF of Fractions for 5679/66, 2814/671 is 3/4026.