Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/986,7437/624
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 324,7437
Greatest Common Factor of Numerators i.e. GCF of 324,7437 is 3 .
LCM of Denominators means LCM of 986,624 as per the given fractions.
LCM of 986,624 is 307632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 324,7437
3 | 324, 7437 |
108, 2479 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 7437
List of positive integer factors of 7437 that divides 7437 without a remainder.
1,3,37,67,111,201,2479,7437
Greatest Common Factor
We found the factors 324,7437 . The biggest common factor number is the GCF number.
So the greatest common factor 324,7437 is 3.
Lets's calculate LCM of 986,624
2 | 986, 624 |
493, 312 |
∴ So the LCM of the given numbers is 2 x 493 x 312 = 307632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/307632
Therefore, the GCF of Fractions 324/986,7437/624 is 3/307632
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 986,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,624) x common factors =2 x 1 = 2
LCM(986,624) = ( 986 × 624 ) / 2
LCM(986,624) = 615264 / 2
LCM(986,624) = 307632
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 324/986, 7437/624?
Answer: GCF of Numerators as per given numbers 324/986, 7437/624 is
GCF of Numerators i.e. for 324,7437 is 3
LCM of denominators i.e. for 986,624 is 307632.
Thus, GCF of Fractions is 3/307632.Finally, GCF of Fractions for 324/986, 7437/624 is 3/307632.