Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/428,4323/213
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 879,4323
Greatest Common Factor of Numerators i.e. GCF of 879,4323 is 3 .
LCM of Denominators means LCM of 428,213 as per the given fractions.
LCM of 428,213 is 91164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,4323
3 | 879, 4323 |
293, 1441 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 4323
List of positive integer factors of 4323 that divides 4323 without a remainder.
1,3,11,33,131,393,1441,4323
Greatest Common Factor
We found the factors 879,4323 . The biggest common factor number is the GCF number.
So the greatest common factor 879,4323 is 3.
Lets's calculate LCM of 428,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 91164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91164
Therefore, the GCF of Fractions 879/428,4323/213 is 3/91164
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 428,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,213) x common factors =1 x 1 = 1
LCM(428,213) = ( 428 × 213 ) / 1
LCM(428,213) = 91164 / 1
LCM(428,213) = 91164
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 879/428, 4323/213?
Answer: GCF of Numerators as per given numbers 879/428, 4323/213 is
GCF of Numerators i.e. for 879,4323 is 3
LCM of denominators i.e. for 428,213 is 91164.
Thus, GCF of Fractions is 3/91164.Finally, GCF of Fractions for 879/428, 4323/213 is 3/91164.