Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/25,972/9540
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 819,972
Greatest Common Factor of Numerators i.e. GCF of 819,972 is 9 .
LCM of Denominators means LCM of 25,9540 as per the given fractions.
LCM of 25,9540 is 47700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,972
3 | 819, 972 |
3 | 273, 324 |
91, 108 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 819,972 . The biggest common factor number is the GCF number.
So the greatest common factor 819,972 is 9.
Lets's calculate LCM of 25,9540
5 | 25, 9540 |
5, 1908 |
∴ So the LCM of the given numbers is 5 x 5 x 1908 = 47700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/47700
Therefore, the GCF of Fractions 819/25,972/9540 is 9/47700
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 25,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,9540) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,9540) x common factors =5 x 1 = 5
LCM(25,9540) = ( 25 × 9540 ) / 5
LCM(25,9540) = 238500 / 5
LCM(25,9540) = 47700
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 819/25, 972/9540?
Answer: GCF of Numerators as per given numbers 819/25, 972/9540 is
GCF of Numerators i.e. for 819,972 is 9
LCM of denominators i.e. for 25,9540 is 47700.
Thus, GCF of Fractions is 9/47700.Finally, GCF of Fractions for 819/25, 972/9540 is 9/47700.