Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 231/544,660/812
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 231,660
Greatest Common Factor of Numerators i.e. GCF of 231,660 is 33 .
LCM of Denominators means LCM of 544,812 as per the given fractions.
LCM of 544,812 is 110432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 231,660
3 | 231, 660 |
11 | 77, 220 |
7, 20 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 231,660 . The biggest common factor number is the GCF number.
So the greatest common factor 231,660 is 33.
Lets's calculate LCM of 544,812
2 | 544, 812 |
2 | 272, 406 |
136, 203 |
∴ So the LCM of the given numbers is 2 x 2 x 136 x 203 = 110432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/110432
Therefore, the GCF of Fractions 231/544,660/812 is 33/110432
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 544,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(544,812) x common factors =4 x 1 = 4
LCM(544,812) = ( 544 × 812 ) / 4
LCM(544,812) = 441728 / 4
LCM(544,812) = 110432
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 231/544, 660/812?
Answer: GCF of Numerators as per given numbers 231/544, 660/812 is
GCF of Numerators i.e. for 231,660 is 33
LCM of denominators i.e. for 544,812 is 110432.
Thus, GCF of Fractions is 33/110432.Finally, GCF of Fractions for 231/544, 660/812 is 33/110432.