Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9642/27,4902/945
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 9642,4902
Greatest Common Factor of Numerators i.e. GCF of 9642,4902 is 6 .
LCM of Denominators means LCM of 27,945 as per the given fractions.
LCM of 27,945 is 945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9642,4902
2 | 9642, 4902 |
3 | 4821, 2451 |
1607, 817 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9642
List of positive integer factors of 9642 that divides 9642 without a remainder.
1,2,3,6,1607,3214,4821,9642
Factors of 4902
List of positive integer factors of 4902 that divides 4902 without a remainder.
1,2,3,6,19,38,43,57,86,114,129,258,817,1634,2451,4902
Greatest Common Factor
We found the factors 9642,4902 . The biggest common factor number is the GCF number.
So the greatest common factor 9642,4902 is 6.
Lets's calculate LCM of 27,945
3 | 27, 945 |
3 | 9, 315 |
3 | 3, 105 |
1, 35 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 35 = 945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/945
Therefore, the GCF of Fractions 9642/27,4902/945 is 6/945
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 27,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,945) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(27,945) x common factors =27 x 1 = 27
LCM(27,945) = ( 27 × 945 ) / 27
LCM(27,945) = 25515 / 27
LCM(27,945) = 945
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 9642/27, 4902/945?
Answer: GCF of Numerators as per given numbers 9642/27, 4902/945 is
GCF of Numerators i.e. for 9642,4902 is 6
LCM of denominators i.e. for 27,945 is 945.
Thus, GCF of Fractions is 6/945.Finally, GCF of Fractions for 9642/27, 4902/945 is 6/945.