Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9657/439,2187/8086
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 9657,2187
Greatest Common Factor of Numerators i.e. GCF of 9657,2187 is 9 .
LCM of Denominators means LCM of 439,8086 as per the given fractions.
LCM of 439,8086 is 3549754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9657,2187
3 | 9657, 2187 |
3 | 3219, 729 |
1073, 243 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 9657
List of positive integer factors of 9657 that divides 9657 without a remainder.
1,3,9,29,37,87,111,261,333,1073,3219,9657
Factors of 2187
List of positive integer factors of 2187 that divides 2187 without a remainder.
1,3,9,27,81,243,729,2187
Greatest Common Factor
We found the factors 9657,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,2187 is 9.
Lets's calculate LCM of 439,8086
Given numbers has no common factors except 1. So, there LCM is their product i.e 3549754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3549754
Therefore, the GCF of Fractions 9657/439,2187/8086 is 9/3549754
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 439,8086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,8086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,8086) x common factors =1 x 1 = 1
LCM(439,8086) = ( 439 × 8086 ) / 1
LCM(439,8086) = 3549754 / 1
LCM(439,8086) = 3549754
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 9657/439, 2187/8086?
Answer: GCF of Numerators as per given numbers 9657/439, 2187/8086 is
GCF of Numerators i.e. for 9657,2187 is 9
LCM of denominators i.e. for 439,8086 is 3549754.
Thus, GCF of Fractions is 9/3549754.Finally, GCF of Fractions for 9657/439, 2187/8086 is 9/3549754.