Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4694/28,2276/829
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 4694,2276
Greatest Common Factor of Numerators i.e. GCF of 4694,2276 is 2 .
LCM of Denominators means LCM of 28,829 as per the given fractions.
LCM of 28,829 is 23212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4694,2276
2 | 4694, 2276 |
2347, 1138 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4694
List of positive integer factors of 4694 that divides 4694 without a remainder.
1,2,2347,4694
Factors of 2276
List of positive integer factors of 2276 that divides 2276 without a remainder.
1,2,4,569,1138,2276
Greatest Common Factor
We found the factors 4694,2276 . The biggest common factor number is the GCF number.
So the greatest common factor 4694,2276 is 2.
Lets's calculate LCM of 28,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 23212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23212
Therefore, the GCF of Fractions 4694/28,2276/829 is 2/23212
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 28,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,829) x common factors =1 x 1 = 1
LCM(28,829) = ( 28 × 829 ) / 1
LCM(28,829) = 23212 / 1
LCM(28,829) = 23212
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 4694/28, 2276/829?
Answer: GCF of Numerators as per given numbers 4694/28, 2276/829 is
GCF of Numerators i.e. for 4694,2276 is 2
LCM of denominators i.e. for 28,829 is 23212.
Thus, GCF of Fractions is 2/23212.Finally, GCF of Fractions for 4694/28, 2276/829 is 2/23212.