Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/240,6861/9972
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 566,6861
Greatest Common Factor of Numerators i.e. GCF of 566,6861 is 1 .
LCM of Denominators means LCM of 240,9972 as per the given fractions.
LCM of 240,9972 is 199440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,6861
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 6861
List of positive integer factors of 6861 that divides 6861 without a remainder.
1,3,2287,6861
Greatest Common Factor
We found the factors 566,6861 . The biggest common factor number is the GCF number.
So the greatest common factor 566,6861 is 1.
Lets's calculate LCM of 240,9972
2 | 240, 9972 |
2 | 120, 4986 |
3 | 60, 2493 |
20, 831 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 831 = 199440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199440
Therefore, the GCF of Fractions 566/240,6861/9972 is 1/199440
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 240,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,9972) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(240,9972) x common factors =12 x 1 = 12
LCM(240,9972) = ( 240 × 9972 ) / 12
LCM(240,9972) = 2393280 / 12
LCM(240,9972) = 199440
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 566/240, 6861/9972?
Answer: GCF of Numerators as per given numbers 566/240, 6861/9972 is
GCF of Numerators i.e. for 566,6861 is 1
LCM of denominators i.e. for 240,9972 is 199440.
Thus, GCF of Fractions is 1/199440.Finally, GCF of Fractions for 566/240, 6861/9972 is 1/199440.