Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4983/711,2496/8381
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 4983,2496
Greatest Common Factor of Numerators i.e. GCF of 4983,2496 is 3 .
LCM of Denominators means LCM of 711,8381 as per the given fractions.
LCM of 711,8381 is 5958891 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4983,2496
3 | 4983, 2496 |
1661, 832 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4983
List of positive integer factors of 4983 that divides 4983 without a remainder.
1,3,11,33,151,453,1661,4983
Factors of 2496
List of positive integer factors of 2496 that divides 2496 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Greatest Common Factor
We found the factors 4983,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 4983,2496 is 3.
Lets's calculate LCM of 711,8381
Given numbers has no common factors except 1. So, there LCM is their product i.e 5958891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5958891
Therefore, the GCF of Fractions 4983/711,2496/8381 is 3/5958891
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 711,8381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,8381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,8381) x common factors =1 x 1 = 1
LCM(711,8381) = ( 711 × 8381 ) / 1
LCM(711,8381) = 5958891 / 1
LCM(711,8381) = 5958891
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 4983/711, 2496/8381?
Answer: GCF of Numerators as per given numbers 4983/711, 2496/8381 is
GCF of Numerators i.e. for 4983,2496 is 3
LCM of denominators i.e. for 711,8381 is 5958891.
Thus, GCF of Fractions is 3/5958891.Finally, GCF of Fractions for 4983/711, 2496/8381 is 3/5958891.