Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6643/121,1001/575
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 6643,1001
Greatest Common Factor of Numerators i.e. GCF of 6643,1001 is 91 .
LCM of Denominators means LCM of 121,575 as per the given fractions.
LCM of 121,575 is 69575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6643,1001
7 | 6643, 1001 |
13 | 949, 143 |
73, 11 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Factors of 6643
List of positive integer factors of 6643 that divides 6643 without a remainder.
1,7,13,73,91,511,949,6643
Factors of 1001
List of positive integer factors of 1001 that divides 1001 without a remainder.
1,7,11,13,77,91,143,1001
Greatest Common Factor
We found the factors 6643,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 6643,1001 is 91.
Lets's calculate LCM of 121,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 69575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/69575
Therefore, the GCF of Fractions 6643/121,1001/575 is 91/69575
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 121,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,575) x common factors =1 x 1 = 1
LCM(121,575) = ( 121 × 575 ) / 1
LCM(121,575) = 69575 / 1
LCM(121,575) = 69575
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 6643/121, 1001/575?
Answer: GCF of Numerators as per given numbers 6643/121, 1001/575 is
GCF of Numerators i.e. for 6643,1001 is 91
LCM of denominators i.e. for 121,575 is 69575.
Thus, GCF of Fractions is 91/69575.Finally, GCF of Fractions for 6643/121, 1001/575 is 91/69575.