Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 334/21,864/7064
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 334,864
Greatest Common Factor of Numerators i.e. GCF of 334,864 is 2 .
LCM of Denominators means LCM of 21,7064 as per the given fractions.
LCM of 21,7064 is 148344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 334,864
2 | 334, 864 |
167, 432 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 334,864 . The biggest common factor number is the GCF number.
So the greatest common factor 334,864 is 2.
Lets's calculate LCM of 21,7064
Given numbers has no common factors except 1. So, there LCM is their product i.e 148344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148344
Therefore, the GCF of Fractions 334/21,864/7064 is 2/148344
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 21,7064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,7064) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,7064) x common factors =1 x 1 = 1
LCM(21,7064) = ( 21 × 7064 ) / 1
LCM(21,7064) = 148344 / 1
LCM(21,7064) = 148344
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 334/21, 864/7064?
Answer: GCF of Numerators as per given numbers 334/21, 864/7064 is
GCF of Numerators i.e. for 334,864 is 2
LCM of denominators i.e. for 21,7064 is 148344.
Thus, GCF of Fractions is 2/148344.Finally, GCF of Fractions for 334/21, 864/7064 is 2/148344.