Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6666/710,8307/2659
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 6666,8307
Greatest Common Factor of Numerators i.e. GCF of 6666,8307 is 3 .
LCM of Denominators means LCM of 710,2659 as per the given fractions.
LCM of 710,2659 is 1887890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6666,8307
3 | 6666, 8307 |
2222, 2769 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6666
List of positive integer factors of 6666 that divides 6666 without a remainder.
1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666
Factors of 8307
List of positive integer factors of 8307 that divides 8307 without a remainder.
1,3,9,13,39,71,117,213,639,923,2769,8307
Greatest Common Factor
We found the factors 6666,8307 . The biggest common factor number is the GCF number.
So the greatest common factor 6666,8307 is 3.
Lets's calculate LCM of 710,2659
Given numbers has no common factors except 1. So, there LCM is their product i.e 1887890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1887890
Therefore, the GCF of Fractions 6666/710,8307/2659 is 3/1887890
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 710,2659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,2659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,2659) x common factors =1 x 1 = 1
LCM(710,2659) = ( 710 × 2659 ) / 1
LCM(710,2659) = 1887890 / 1
LCM(710,2659) = 1887890
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 6666/710, 8307/2659?
Answer: GCF of Numerators as per given numbers 6666/710, 8307/2659 is
GCF of Numerators i.e. for 6666,8307 is 3
LCM of denominators i.e. for 710,2659 is 1887890.
Thus, GCF of Fractions is 3/1887890.Finally, GCF of Fractions for 6666/710, 8307/2659 is 3/1887890.