Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9201/65,2360/835
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 9201,2360
Greatest Common Factor of Numerators i.e. GCF of 9201,2360 is 1 .
LCM of Denominators means LCM of 65,835 as per the given fractions.
LCM of 65,835 is 10855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9201,2360
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9201
List of positive integer factors of 9201 that divides 9201 without a remainder.
1,3,3067,9201
Factors of 2360
List of positive integer factors of 2360 that divides 2360 without a remainder.
1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Greatest Common Factor
We found the factors 9201,2360 . The biggest common factor number is the GCF number.
So the greatest common factor 9201,2360 is 1.
Lets's calculate LCM of 65,835
5 | 65, 835 |
13, 167 |
∴ So the LCM of the given numbers is 5 x 13 x 167 = 10855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10855
Therefore, the GCF of Fractions 9201/65,2360/835 is 1/10855
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 65,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,835) x common factors =5 x 1 = 5
LCM(65,835) = ( 65 × 835 ) / 5
LCM(65,835) = 54275 / 5
LCM(65,835) = 10855
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 9201/65, 2360/835?
Answer: GCF of Numerators as per given numbers 9201/65, 2360/835 is
GCF of Numerators i.e. for 9201,2360 is 1
LCM of denominators i.e. for 65,835 is 10855.
Thus, GCF of Fractions is 1/10855.Finally, GCF of Fractions for 9201/65, 2360/835 is 1/10855.