Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3046/593,2040/4802
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 3046,2040
Greatest Common Factor of Numerators i.e. GCF of 3046,2040 is 2 .
LCM of Denominators means LCM of 593,4802 as per the given fractions.
LCM of 593,4802 is 2847586 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3046,2040
2 | 3046, 2040 |
1523, 1020 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3046
List of positive integer factors of 3046 that divides 3046 without a remainder.
1,2,1523,3046
Factors of 2040
List of positive integer factors of 2040 that divides 2040 without a remainder.
1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 3046,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 3046,2040 is 2.
Lets's calculate LCM of 593,4802
Given numbers has no common factors except 1. So, there LCM is their product i.e 2847586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2847586
Therefore, the GCF of Fractions 3046/593,2040/4802 is 2/2847586
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 593,4802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,4802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,4802) x common factors =1 x 1 = 1
LCM(593,4802) = ( 593 × 4802 ) / 1
LCM(593,4802) = 2847586 / 1
LCM(593,4802) = 2847586
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 3046/593, 2040/4802?
Answer: GCF of Numerators as per given numbers 3046/593, 2040/4802 is
GCF of Numerators i.e. for 3046,2040 is 2
LCM of denominators i.e. for 593,4802 is 2847586.
Thus, GCF of Fractions is 2/2847586.Finally, GCF of Fractions for 3046/593, 2040/4802 is 2/2847586.