Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9854/33,3117/436
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 9854,3117
Greatest Common Factor of Numerators i.e. GCF of 9854,3117 is 1 .
LCM of Denominators means LCM of 33,436 as per the given fractions.
LCM of 33,436 is 14388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9854,3117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9854
List of positive integer factors of 9854 that divides 9854 without a remainder.
1,2,13,26,379,758,4927,9854
Factors of 3117
List of positive integer factors of 3117 that divides 3117 without a remainder.
1,3,1039,3117
Greatest Common Factor
We found the factors 9854,3117 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,3117 is 1.
Lets's calculate LCM of 33,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 14388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14388
Therefore, the GCF of Fractions 9854/33,3117/436 is 1/14388
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 33,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,436) x common factors =1 x 1 = 1
LCM(33,436) = ( 33 × 436 ) / 1
LCM(33,436) = 14388 / 1
LCM(33,436) = 14388
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 9854/33, 3117/436?
Answer: GCF of Numerators as per given numbers 9854/33, 3117/436 is
GCF of Numerators i.e. for 9854,3117 is 1
LCM of denominators i.e. for 33,436 is 14388.
Thus, GCF of Fractions is 1/14388.Finally, GCF of Fractions for 9854/33, 3117/436 is 1/14388.