Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1394/920,5464/497
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 1394,5464
Greatest Common Factor of Numerators i.e. GCF of 1394,5464 is 2 .
LCM of Denominators means LCM of 920,497 as per the given fractions.
LCM of 920,497 is 457240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1394,5464
2 | 1394, 5464 |
697, 2732 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1394
List of positive integer factors of 1394 that divides 1394 without a remainder.
1,2,17,34,41,82,697,1394
Factors of 5464
List of positive integer factors of 5464 that divides 5464 without a remainder.
1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 1394,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 1394,5464 is 2.
Lets's calculate LCM of 920,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 457240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/457240
Therefore, the GCF of Fractions 1394/920,5464/497 is 2/457240
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 920,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(920,497) x common factors =1 x 1 = 1
LCM(920,497) = ( 920 × 497 ) / 1
LCM(920,497) = 457240 / 1
LCM(920,497) = 457240
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 1394/920, 5464/497?
Answer: GCF of Numerators as per given numbers 1394/920, 5464/497 is
GCF of Numerators i.e. for 1394,5464 is 2
LCM of denominators i.e. for 920,497 is 457240.
Thus, GCF of Fractions is 2/457240.Finally, GCF of Fractions for 1394/920, 5464/497 is 2/457240.