Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 585/935,8184/9729
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 585,8184
Greatest Common Factor of Numerators i.e. GCF of 585,8184 is 3 .
LCM of Denominators means LCM of 935,9729 as per the given fractions.
LCM of 935,9729 is 9096615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 585,8184
3 | 585, 8184 |
195, 2728 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 8184
List of positive integer factors of 8184 that divides 8184 without a remainder.
1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184
Greatest Common Factor
We found the factors 585,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 585,8184 is 3.
Lets's calculate LCM of 935,9729
Given numbers has no common factors except 1. So, there LCM is their product i.e 9096615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9096615
Therefore, the GCF of Fractions 585/935,8184/9729 is 3/9096615
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 935,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,9729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,9729) x common factors =1 x 1 = 1
LCM(935,9729) = ( 935 × 9729 ) / 1
LCM(935,9729) = 9096615 / 1
LCM(935,9729) = 9096615
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 585/935, 8184/9729?
Answer: GCF of Numerators as per given numbers 585/935, 8184/9729 is
GCF of Numerators i.e. for 585,8184 is 3
LCM of denominators i.e. for 935,9729 is 9096615.
Thus, GCF of Fractions is 3/9096615.Finally, GCF of Fractions for 585/935, 8184/9729 is 3/9096615.