Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/393,3042/5494
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 657,3042
Greatest Common Factor of Numerators i.e. GCF of 657,3042 is 9 .
LCM of Denominators means LCM of 393,5494 as per the given fractions.
LCM of 393,5494 is 2159142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,3042
3 | 657, 3042 |
3 | 219, 1014 |
73, 338 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 3042
List of positive integer factors of 3042 that divides 3042 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042
Greatest Common Factor
We found the factors 657,3042 . The biggest common factor number is the GCF number.
So the greatest common factor 657,3042 is 9.
Lets's calculate LCM of 393,5494
Given numbers has no common factors except 1. So, there LCM is their product i.e 2159142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2159142
Therefore, the GCF of Fractions 657/393,3042/5494 is 9/2159142
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 393,5494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,5494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,5494) x common factors =1 x 1 = 1
LCM(393,5494) = ( 393 × 5494 ) / 1
LCM(393,5494) = 2159142 / 1
LCM(393,5494) = 2159142
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 657/393, 3042/5494?
Answer: GCF of Numerators as per given numbers 657/393, 3042/5494 is
GCF of Numerators i.e. for 657,3042 is 9
LCM of denominators i.e. for 393,5494 is 2159142.
Thus, GCF of Fractions is 9/2159142.Finally, GCF of Fractions for 657/393, 3042/5494 is 9/2159142.