Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6753/864,9609/3952
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 6753,9609
Greatest Common Factor of Numerators i.e. GCF of 6753,9609 is 3 .
LCM of Denominators means LCM of 864,3952 as per the given fractions.
LCM of 864,3952 is 213408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6753,9609
3 | 6753, 9609 |
2251, 3203 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6753
List of positive integer factors of 6753 that divides 6753 without a remainder.
1,3,2251,6753
Factors of 9609
List of positive integer factors of 9609 that divides 9609 without a remainder.
1,3,3203,9609
Greatest Common Factor
We found the factors 6753,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 6753,9609 is 3.
Lets's calculate LCM of 864,3952
2 | 864, 3952 |
2 | 432, 1976 |
2 | 216, 988 |
2 | 108, 494 |
54, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 54 x 247 = 213408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213408
Therefore, the GCF of Fractions 6753/864,9609/3952 is 3/213408
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 864,3952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,3952) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(864,3952) x common factors =16 x 1 = 16
LCM(864,3952) = ( 864 × 3952 ) / 16
LCM(864,3952) = 3414528 / 16
LCM(864,3952) = 213408
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 6753/864, 9609/3952?
Answer: GCF of Numerators as per given numbers 6753/864, 9609/3952 is
GCF of Numerators i.e. for 6753,9609 is 3
LCM of denominators i.e. for 864,3952 is 213408.
Thus, GCF of Fractions is 3/213408.Finally, GCF of Fractions for 6753/864, 9609/3952 is 3/213408.