Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/350,9804/427
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 648,9804
Greatest Common Factor of Numerators i.e. GCF of 648,9804 is 12 .
LCM of Denominators means LCM of 350,427 as per the given fractions.
LCM of 350,427 is 21350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,9804
2 | 648, 9804 |
2 | 324, 4902 |
3 | 162, 2451 |
54, 817 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 9804
List of positive integer factors of 9804 that divides 9804 without a remainder.
1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors 648,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 648,9804 is 12.
Lets's calculate LCM of 350,427
7 | 350, 427 |
50, 61 |
∴ So the LCM of the given numbers is 7 x 50 x 61 = 21350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/21350
Therefore, the GCF of Fractions 648/350,9804/427 is 12/21350
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 350,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(350,427) x common factors =7 x 1 = 7
LCM(350,427) = ( 350 × 427 ) / 7
LCM(350,427) = 149450 / 7
LCM(350,427) = 21350
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 648/350, 9804/427?
Answer: GCF of Numerators as per given numbers 648/350, 9804/427 is
GCF of Numerators i.e. for 648,9804 is 12
LCM of denominators i.e. for 350,427 is 21350.
Thus, GCF of Fractions is 12/21350.Finally, GCF of Fractions for 648/350, 9804/427 is 12/21350.