Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8070/13,4614/713
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 8070,4614
Greatest Common Factor of Numerators i.e. GCF of 8070,4614 is 6 .
LCM of Denominators means LCM of 13,713 as per the given fractions.
LCM of 13,713 is 9269 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8070,4614
2 | 8070, 4614 |
3 | 4035, 2307 |
1345, 769 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 8070
List of positive integer factors of 8070 that divides 8070 without a remainder.
1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070
Factors of 4614
List of positive integer factors of 4614 that divides 4614 without a remainder.
1,2,3,6,769,1538,2307,4614
Greatest Common Factor
We found the factors 8070,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 8070,4614 is 6.
Lets's calculate LCM of 13,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 9269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9269
Therefore, the GCF of Fractions 8070/13,4614/713 is 6/9269
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 13,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,713) x common factors =1 x 1 = 1
LCM(13,713) = ( 13 × 713 ) / 1
LCM(13,713) = 9269 / 1
LCM(13,713) = 9269
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 8070/13, 4614/713?
Answer: GCF of Numerators as per given numbers 8070/13, 4614/713 is
GCF of Numerators i.e. for 8070,4614 is 6
LCM of denominators i.e. for 13,713 is 9269.
Thus, GCF of Fractions is 6/9269.Finally, GCF of Fractions for 8070/13, 4614/713 is 6/9269.