Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9853/81,5340/514
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 9853,5340
Greatest Common Factor of Numerators i.e. GCF of 9853,5340 is 1 .
LCM of Denominators means LCM of 81,514 as per the given fractions.
LCM of 81,514 is 41634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9853,5340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1,59,167,9853
Factors of 5340
List of positive integer factors of 5340 that divides 5340 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 9853,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 9853,5340 is 1.
Lets's calculate LCM of 81,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 41634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41634
Therefore, the GCF of Fractions 9853/81,5340/514 is 1/41634
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 81,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,514) x common factors =1 x 1 = 1
LCM(81,514) = ( 81 × 514 ) / 1
LCM(81,514) = 41634 / 1
LCM(81,514) = 41634
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 9853/81, 5340/514?
Answer: GCF of Numerators as per given numbers 9853/81, 5340/514 is
GCF of Numerators i.e. for 9853,5340 is 1
LCM of denominators i.e. for 81,514 is 41634.
Thus, GCF of Fractions is 1/41634.Finally, GCF of Fractions for 9853/81, 5340/514 is 1/41634.