Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 866/590,9454/560
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 866,9454
Greatest Common Factor of Numerators i.e. GCF of 866,9454 is 2 .
LCM of Denominators means LCM of 590,560 as per the given fractions.
LCM of 590,560 is 33040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 866,9454
2 | 866, 9454 |
433, 4727 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Factors of 9454
List of positive integer factors of 9454 that divides 9454 without a remainder.
1,2,29,58,163,326,4727,9454
Greatest Common Factor
We found the factors 866,9454 . The biggest common factor number is the GCF number.
So the greatest common factor 866,9454 is 2.
Lets's calculate LCM of 590,560
2 | 590, 560 |
5 | 295, 280 |
59, 56 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 56 = 33040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33040
Therefore, the GCF of Fractions 866/590,9454/560 is 2/33040
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 590,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,560) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,560) x common factors =10 x 1 = 10
LCM(590,560) = ( 590 × 560 ) / 10
LCM(590,560) = 330400 / 10
LCM(590,560) = 33040
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 866/590, 9454/560?
Answer: GCF of Numerators as per given numbers 866/590, 9454/560 is
GCF of Numerators i.e. for 866,9454 is 2
LCM of denominators i.e. for 590,560 is 33040.
Thus, GCF of Fractions is 2/33040.Finally, GCF of Fractions for 866/590, 9454/560 is 2/33040.