Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2611/946,9396/8286
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 2611,9396
Greatest Common Factor of Numerators i.e. GCF of 2611,9396 is 1 .
LCM of Denominators means LCM of 946,8286 as per the given fractions.
LCM of 946,8286 is 3919278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2611,9396
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2611
List of positive integer factors of 2611 that divides 2611 without a remainder.
1,7,373,2611
Factors of 9396
List of positive integer factors of 9396 that divides 9396 without a remainder.
1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396
Greatest Common Factor
We found the factors 2611,9396 . The biggest common factor number is the GCF number.
So the greatest common factor 2611,9396 is 1.
Lets's calculate LCM of 946,8286
2 | 946, 8286 |
473, 4143 |
∴ So the LCM of the given numbers is 2 x 473 x 4143 = 3919278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3919278
Therefore, the GCF of Fractions 2611/946,9396/8286 is 1/3919278
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 946,8286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,8286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,8286) x common factors =2 x 1 = 2
LCM(946,8286) = ( 946 × 8286 ) / 2
LCM(946,8286) = 7838556 / 2
LCM(946,8286) = 3919278
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 2611/946, 9396/8286?
Answer: GCF of Numerators as per given numbers 2611/946, 9396/8286 is
GCF of Numerators i.e. for 2611,9396 is 1
LCM of denominators i.e. for 946,8286 is 3919278.
Thus, GCF of Fractions is 1/3919278.Finally, GCF of Fractions for 2611/946, 9396/8286 is 1/3919278.