Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2933/845,8988/2248
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 2933,8988
Greatest Common Factor of Numerators i.e. GCF of 2933,8988 is 7 .
LCM of Denominators means LCM of 845,2248 as per the given fractions.
LCM of 845,2248 is 1899560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2933,8988
7 | 2933, 8988 |
419, 1284 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 2933
List of positive integer factors of 2933 that divides 2933 without a remainder.
1,7,419,2933
Factors of 8988
List of positive integer factors of 8988 that divides 8988 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988
Greatest Common Factor
We found the factors 2933,8988 . The biggest common factor number is the GCF number.
So the greatest common factor 2933,8988 is 7.
Lets's calculate LCM of 845,2248
Given numbers has no common factors except 1. So, there LCM is their product i.e 1899560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1899560
Therefore, the GCF of Fractions 2933/845,8988/2248 is 7/1899560
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 845,2248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,2248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,2248) x common factors =1 x 1 = 1
LCM(845,2248) = ( 845 × 2248 ) / 1
LCM(845,2248) = 1899560 / 1
LCM(845,2248) = 1899560
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 2933/845, 8988/2248?
Answer: GCF of Numerators as per given numbers 2933/845, 8988/2248 is
GCF of Numerators i.e. for 2933,8988 is 7
LCM of denominators i.e. for 845,2248 is 1899560.
Thus, GCF of Fractions is 7/1899560.Finally, GCF of Fractions for 2933/845, 8988/2248 is 7/1899560.