Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9180/866,8303/905
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 9180,8303
Greatest Common Factor of Numerators i.e. GCF of 9180,8303 is 1 .
LCM of Denominators means LCM of 866,905 as per the given fractions.
LCM of 866,905 is 783730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9180,8303
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9180
List of positive integer factors of 9180 that divides 9180 without a remainder.
1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Factors of 8303
List of positive integer factors of 8303 that divides 8303 without a remainder.
1,19,23,361,437,8303
Greatest Common Factor
We found the factors 9180,8303 . The biggest common factor number is the GCF number.
So the greatest common factor 9180,8303 is 1.
Lets's calculate LCM of 866,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 783730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783730
Therefore, the GCF of Fractions 9180/866,8303/905 is 1/783730
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 866,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,905) x common factors =1 x 1 = 1
LCM(866,905) = ( 866 × 905 ) / 1
LCM(866,905) = 783730 / 1
LCM(866,905) = 783730
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 9180/866, 8303/905?
Answer: GCF of Numerators as per given numbers 9180/866, 8303/905 is
GCF of Numerators i.e. for 9180,8303 is 1
LCM of denominators i.e. for 866,905 is 783730.
Thus, GCF of Fractions is 1/783730.Finally, GCF of Fractions for 9180/866, 8303/905 is 1/783730.