Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/805,7872/8121
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 84,7872
Greatest Common Factor of Numerators i.e. GCF of 84,7872 is 12 .
LCM of Denominators means LCM of 805,8121 as per the given fractions.
LCM of 805,8121 is 6537405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,7872
2 | 84, 7872 |
2 | 42, 3936 |
3 | 21, 1968 |
7, 656 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 7872
List of positive integer factors of 7872 that divides 7872 without a remainder.
1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Greatest Common Factor
We found the factors 84,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7872 is 12.
Lets's calculate LCM of 805,8121
Given numbers has no common factors except 1. So, there LCM is their product i.e 6537405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6537405
Therefore, the GCF of Fractions 84/805,7872/8121 is 12/6537405
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 805,8121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,8121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,8121) x common factors =1 x 1 = 1
LCM(805,8121) = ( 805 × 8121 ) / 1
LCM(805,8121) = 6537405 / 1
LCM(805,8121) = 6537405
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 84/805, 7872/8121?
Answer: GCF of Numerators as per given numbers 84/805, 7872/8121 is
GCF of Numerators i.e. for 84,7872 is 12
LCM of denominators i.e. for 805,8121 is 6537405.
Thus, GCF of Fractions is 12/6537405.Finally, GCF of Fractions for 84/805, 7872/8121 is 12/6537405.