Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4336/37,2884/606
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 4336,2884
Greatest Common Factor of Numerators i.e. GCF of 4336,2884 is 4 .
LCM of Denominators means LCM of 37,606 as per the given fractions.
LCM of 37,606 is 22422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4336,2884
2 | 4336, 2884 |
2 | 2168, 1442 |
1084, 721 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4336
List of positive integer factors of 4336 that divides 4336 without a remainder.
1,2,4,8,16,271,542,1084,2168,4336
Factors of 2884
List of positive integer factors of 2884 that divides 2884 without a remainder.
1,2,4,7,14,28,103,206,412,721,1442,2884
Greatest Common Factor
We found the factors 4336,2884 . The biggest common factor number is the GCF number.
So the greatest common factor 4336,2884 is 4.
Lets's calculate LCM of 37,606
Given numbers has no common factors except 1. So, there LCM is their product i.e 22422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22422
Therefore, the GCF of Fractions 4336/37,2884/606 is 4/22422
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 37,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,606) x common factors =1 x 1 = 1
LCM(37,606) = ( 37 × 606 ) / 1
LCM(37,606) = 22422 / 1
LCM(37,606) = 22422
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 4336/37, 2884/606?
Answer: GCF of Numerators as per given numbers 4336/37, 2884/606 is
GCF of Numerators i.e. for 4336,2884 is 4
LCM of denominators i.e. for 37,606 is 22422.
Thus, GCF of Fractions is 4/22422.Finally, GCF of Fractions for 4336/37, 2884/606 is 4/22422.