Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 540/866,8825/356
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 540,8825
Greatest Common Factor of Numerators i.e. GCF of 540,8825 is 5 .
LCM of Denominators means LCM of 866,356 as per the given fractions.
LCM of 866,356 is 154148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 540,8825
5 | 540, 8825 |
108, 1765 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 8825
List of positive integer factors of 8825 that divides 8825 without a remainder.
1,5,25,353,1765,8825
Greatest Common Factor
We found the factors 540,8825 . The biggest common factor number is the GCF number.
So the greatest common factor 540,8825 is 5.
Lets's calculate LCM of 866,356
2 | 866, 356 |
433, 178 |
∴ So the LCM of the given numbers is 2 x 433 x 178 = 154148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/154148
Therefore, the GCF of Fractions 540/866,8825/356 is 5/154148
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 866,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,356) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,356) x common factors =2 x 1 = 2
LCM(866,356) = ( 866 × 356 ) / 2
LCM(866,356) = 308296 / 2
LCM(866,356) = 154148
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 540/866, 8825/356?
Answer: GCF of Numerators as per given numbers 540/866, 8825/356 is
GCF of Numerators i.e. for 540,8825 is 5
LCM of denominators i.e. for 866,356 is 154148.
Thus, GCF of Fractions is 5/154148.Finally, GCF of Fractions for 540/866, 8825/356 is 5/154148.