Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6336/65,7203/206
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 6336,7203
Greatest Common Factor of Numerators i.e. GCF of 6336,7203 is 3 .
LCM of Denominators means LCM of 65,206 as per the given fractions.
LCM of 65,206 is 13390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6336,7203
3 | 6336, 7203 |
2112, 2401 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6336
List of positive integer factors of 6336 that divides 6336 without a remainder.
1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Factors of 7203
List of positive integer factors of 7203 that divides 7203 without a remainder.
1,3,7,21,49,147,343,1029,2401,7203
Greatest Common Factor
We found the factors 6336,7203 . The biggest common factor number is the GCF number.
So the greatest common factor 6336,7203 is 3.
Lets's calculate LCM of 65,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 13390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13390
Therefore, the GCF of Fractions 6336/65,7203/206 is 3/13390
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 65,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,206) x common factors =1 x 1 = 1
LCM(65,206) = ( 65 × 206 ) / 1
LCM(65,206) = 13390 / 1
LCM(65,206) = 13390
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 6336/65, 7203/206?
Answer: GCF of Numerators as per given numbers 6336/65, 7203/206 is
GCF of Numerators i.e. for 6336,7203 is 3
LCM of denominators i.e. for 65,206 is 13390.
Thus, GCF of Fractions is 3/13390.Finally, GCF of Fractions for 6336/65, 7203/206 is 3/13390.