Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7210/85,3515/704
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 7210,3515
Greatest Common Factor of Numerators i.e. GCF of 7210,3515 is 5 .
LCM of Denominators means LCM of 85,704 as per the given fractions.
LCM of 85,704 is 59840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7210,3515
5 | 7210, 3515 |
1442, 703 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7210
List of positive integer factors of 7210 that divides 7210 without a remainder.
1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Factors of 3515
List of positive integer factors of 3515 that divides 3515 without a remainder.
1,5,19,37,95,185,703,3515
Greatest Common Factor
We found the factors 7210,3515 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,3515 is 5.
Lets's calculate LCM of 85,704
Given numbers has no common factors except 1. So, there LCM is their product i.e 59840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59840
Therefore, the GCF of Fractions 7210/85,3515/704 is 5/59840
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 85,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,704) x common factors =1 x 1 = 1
LCM(85,704) = ( 85 × 704 ) / 1
LCM(85,704) = 59840 / 1
LCM(85,704) = 59840
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 7210/85, 3515/704?
Answer: GCF of Numerators as per given numbers 7210/85, 3515/704 is
GCF of Numerators i.e. for 7210,3515 is 5
LCM of denominators i.e. for 85,704 is 59840.
Thus, GCF of Fractions is 5/59840.Finally, GCF of Fractions for 7210/85, 3515/704 is 5/59840.