Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1944/325,5898/720
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 1944,5898
Greatest Common Factor of Numerators i.e. GCF of 1944,5898 is 6 .
LCM of Denominators means LCM of 325,720 as per the given fractions.
LCM of 325,720 is 46800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1944,5898
2 | 1944, 5898 |
3 | 972, 2949 |
324, 983 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1944
List of positive integer factors of 1944 that divides 1944 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944
Factors of 5898
List of positive integer factors of 5898 that divides 5898 without a remainder.
1,2,3,6,983,1966,2949,5898
Greatest Common Factor
We found the factors 1944,5898 . The biggest common factor number is the GCF number.
So the greatest common factor 1944,5898 is 6.
Lets's calculate LCM of 325,720
5 | 325, 720 |
65, 144 |
∴ So the LCM of the given numbers is 5 x 65 x 144 = 46800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/46800
Therefore, the GCF of Fractions 1944/325,5898/720 is 6/46800
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 325,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,720) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(325,720) x common factors =5 x 1 = 5
LCM(325,720) = ( 325 × 720 ) / 5
LCM(325,720) = 234000 / 5
LCM(325,720) = 46800
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 1944/325, 5898/720?
Answer: GCF of Numerators as per given numbers 1944/325, 5898/720 is
GCF of Numerators i.e. for 1944,5898 is 6
LCM of denominators i.e. for 325,720 is 46800.
Thus, GCF of Fractions is 6/46800.Finally, GCF of Fractions for 1944/325, 5898/720 is 6/46800.